Pith Number

pith:CDOYZDCQ

pith:2021:CDOYZDCQW6LI5MLFJE2D2T7L3O

not attested not anchored not stored refs pending

Comments on all-loop constraints for scattering amplitudes and Feynman integrals

Qinglin Yang, Song He, Zhenjie Li

arxiv:2108.07959 v2 · 2021-08-18 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDOYZDCQW6LI5MLFJE2D2T7L3O}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Kinematics, cluster algebras and Feynman integrals

Receipt and verification

First computed	2026-07-05T03:53:02.609468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10dd8c8c50b7968eb16549343d4febdba939385b872d47274cdda5e4ddabfd7e

Aliases

arxiv: 2108.07959 · arxiv_version: 2108.07959v2 · doi: 10.48550/arxiv.2108.07959 · pith_short_12: CDOYZDCQW6LI · pith_short_16: CDOYZDCQW6LI5MLF · pith_short_8: CDOYZDCQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CDOYZDCQW6LI5MLFJE2D2T7L3O \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 10dd8c8c50b7968eb16549343d4febdba939385b872d47274cdda5e4ddabfd7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1cb80818e26802f3a83510fd998baf0dde9d81066ba10c5767274917ad97668",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-08-18T03:34:35Z",
    "title_canon_sha256": "925507cd196f9283d7a539e3360695536daed0478291f7100b96906bcb020e97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07959",
    "kind": "arxiv",
    "version": 2
  }
}