Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:23:04.653443Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 12 inbound Pith citation observations for arXiv:2412.20639.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T23:23:04.653443Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T21:19:30.241076Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T03:07:35.020681Z
45 of 45 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation b6a77843-f85d-441a-8a28-e3a65e43f807 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Duality and Hadrodynamics,
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8b80a4e1-6054-4fa3-989e-498a4c9f4dfe · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations An almost physical interpretation of the integrand of then-point Veneziano model,
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c285fa7d-9e8c-4913-9428-1fc4c88b57de · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Structure of Hadrons Implied by Duality,
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 305d044b-0bcf-47d7-a771-da0dd9fef322 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Construction of a crossing-symmetric, Regge behaved amplitude for linearly rising trajectories,
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0e21dedc-d0ed-4800-a0be-7c375c21766e · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Hidden zeros for particle/string amplitudes and the unity of colored scalars, pions and gluons
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e3e679f-eacc-4558-87c0-b4d7b6c50617 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Reaction amplitude forn-mesons: A generalization of the Veneziano-Bardakçi-Ruegg-Virasoro model,
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2c5e8daa-94f2-42ad-b60d-0c04bf9f12c2 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations High-energy behaviour of the Bardakçi-Ruegg ampli- tude,
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2c6b08ff-13ba-4e31-82eb-ebb22202455d · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Six Gluon Open Superstring Disk Amplitude, Multiple Hypergeometric Series and Euler-Zagier Sums
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86f5bc99-6ad7-4f9d-8b9b-926ee2207350 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Binary Geometries, Generalized Particles and Strings, and Cluster Algebras
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5940ed14-9e17-47bb-9d21-2da7b37f4265 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations All Loop Scattering As A Counting Problem
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d6ea793-4bdc-4820-a9f2-209cd9121d99 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Stringy Canonical Forms
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 040a9fcb-6a1c-49b1-8584-b0a6f99627ee · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Scalar-Scaffolded Gluons and the Combinatorial Origins of Yang-Mills Theory
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fdbce7a4-7cb5-4a86-9ae8-6fe1125a63ed · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Reggeized resonance model for the production ampli- tude,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 511b2a9d-54a7-4cf4-a240-8830aa474f20 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Explicit construction of theN-point function in the generalized Veneziano model,
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f9b96c1d-7cf7-4776-98ce-67a158b56e69 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Factorization and the generalized Veneziano model with satellites,
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fe6c946d-015f-4537-8c0c-87a938b70a2f · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Multiparticle Factorization and the Rigidity of String Theory
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8bc28733-4996-4591-97be-1965d0d43de9 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations All-order splits and multi-soft limits for particle and string amplitudes
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 302aa9bd-3431-4ac9-ad56-b0f3eee3c05e · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Evaluating one-loop string amplitudes
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a539c4b4-aae9-4d50-84eb-29f8d6a5e9e1 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Unitarity Cuts of the Worldsheet
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b57e4647-5091-4c74-b18b-80c03acf3989 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations String Theory Beyond the Planck Scale,
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0377f996-5980-480b-8b01-11bc78723fbb · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations The High-Energy Behavior of String Scattering Amplitudes,
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 74adbacc-b871-4383-87d6-ca8a4a1d775e · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Borel Summation of String Theory for Planck Scale Scattering,
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6770b9f1-7cbd-48b2-9382-f60111353236 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Glimpses of black hole formation/evaporation in highly inelastic, ultra-planckian string collisions
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16918472-eced-475b-bb24-3992080e5570 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Black Hole Formation and Classicalization in Ultra-Planckian 2 -> N Scattering
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2266e7ab-0006-4f2e-a4bc-e5c2b521ad4b · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Stringy Dynamics from an Amplitudes Bootstrap
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bd169b8e-4ddc-4d2b-a208-a2885533c61b · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Bespoke Dual Resonance
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2eb4ace8-545e-4b8a-9c33-d3d2a12657ac · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Uniqueness of the Veneziano representation,
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 06573ed0-b751-4532-8eb1-e50e6aefd247 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations The Stringy S-matrix Bootstrap: Maximal Spin and Superpolynomial Softness
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation beb77806-20b3-45e9-9cfd-0c2779d80770 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Strings from Massive Higher Spins: The Asymptotic Uniqueness of the Veneziano Amplitude
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6dbaf1cc-976e-4e05-aa0a-947f5fdfdb4e · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Bootstrap Principle for the Spectrum and Scattering of Strings
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9009857c-cff4-4abd-b292-6795d94eb6fe · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Uniqueness Criteria for the Virasoro-Shapiro Amplitude
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2367b11c-a536-4ab3-b2d3-5a344e5a0478 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Scattering Forms and the Positive Geometry of Kinematics, Color and the Worldsheet
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84a6f6c2-a6ee-4514-b90b-af6adaa6533e · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations All Loop Scattering For All Multiplicity
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6fc57856-9263-4dca-bcb0-e9bdfc373241 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Tropical Amplitudes For Colored Lagrangians
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56ee59c3-6867-43ec-b6d7-104a6ab44449 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations The Feynman $i \epsilon$ in String Theory
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4296034-5e0e-433c-a1f3-732a2ba0bbdf · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Lorentzian contours for tree-level string amplitudes
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 88dcf1e7-d660-4110-bbdb-68ffb6d7459e · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Regge Limit of One-Loop String Amplitudes
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e646d4bf-dcaa-45b1-bebf-4d2cb6eb1e27 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Theiε-Prescription for String Amplitudes and Reg- ularized Modular Integrals,
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc4aace9-eb9d-49e5-81a7-19057ef4bd26 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Crossing-symmetric decomposition of the five-point and six-point Veneziano formulas into tree-graph integrals,
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9b482c31-2619-49be-8d64-0eab10a55586 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Integral representations for the complete four- and five-point Veneziano amplitudes,
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a27ddf83-d730-4363-858d-6e5d323a1bd3 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations On Hypergeometrics 3F2(1) - A Review
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dc30b7ca-3cf8-4e45-834e-1faacfe35702 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a504ec5f-505c-45da-9fa0-b7fc48f7db27 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Ueber die Functionen, welche durch Reihen von der Form dargestellt werden 1 + p 1 p′ q′ p′′ q′′ + p 1 p+1 2 p′ q′ p′+1 q′+1 p′′ q′′ p′′+1 q′′+1 +··· ,
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f7b4111f-29f2-4287-a59a-267e23bd59b5 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Multiple zeta values and periods of moduli spaces $\mathfrak{M}_{0,n}$
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 78941343-0166-4061-97e9-1b89fb547261 · outbound
Open String Amplitudes: Singularities, Asymptotics, and New Representations Well-Poised Series and Other Generalized Hypergeometrtc Se- ries,
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c35dc476-bbc7-4df8-88e4-2ee12f98cde5 · inbound
Soft theorems of tree-level ${\rm Tr}(\phi^3)$, YM and NLSM amplitudes from $2$-splits Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c3b439fc-5164-4b91-9354-cc053bf6e457 · inbound
Strings from Almost Nothing Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 93
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a7e35ac-fb8d-4bb0-8a5a-746afc3db518 · inbound
A new recursion relation for tree-level NLSM amplitudes based on hidden zeros Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d45dea6d-6043-4544-91fc-760b3be08fe3 · inbound
$2$-split from Feynman diagrams and Expansions Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d3e47e59-d814-4df1-bb1f-3aaf53da4a92 · inbound
Hidden zeros for higher-derivative YM and GR amplitudes at tree-level Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation be10cf3e-3ca6-489b-a6f4-5a8736fa525d · inbound
Worldsheet for Generalized Veneziano Amplitudes Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe465b2e-f3d4-4737-87f2-398897e14de8 · inbound
Higher-Spin and Higher-Point Constraints on Stringy Amplitudes Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43a50910-de5c-4ef1-9082-5ae0b0358699 · inbound
Universal Interpretation of Hidden Zero and $2$-Split of Tree-Level Amplitudes Using Feynman Diagrams, Part $\mathbf{I}$: ${\rm Tr}(\phi^3)$, NLSM and YM Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 60406740-5403-49a7-849e-a4a6b3c905cf · inbound
Analytic Bootstrap of the Veneziano Amplitude Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d543a0b2-5e53-44fe-86e8-c1b970081a2e · inbound
Analytic Bootstrap of the Veneziano Amplitude Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bd684542-acd3-400c-a0f0-637fea7760a4 · inbound
Multipositivity Constrains the Chiral Lagrangian Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 136
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 72924634-0fe0-43f6-8561-68a134029b71 · inbound
Zeta Functions and the Superstring Open String Amplitudes: Singularities, Asymptotics, and New Representations
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.