Pith Number

pith:7VNMIYNB

pith:2013:7VNMIYNB5JATUMXVZVMED5NSTL

not attested not anchored not stored refs pending

Schouten identities for Feynman graph amplitudes; the Master Integrals for the two-loop massive sunrise graph

Ettore Remiddi, Lorenzo Tancredi

arxiv:1311.3342 v2 · 2013-11-13 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7VNMIYNB5JATUMXVZVMED5NSTL}

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

2 papers in Pith

Picard-Fuchs Equations of Twisted Differential forms associated to Feynman Integrals

Discrete symmetries of Feynman integrals

Receipt and verification

First computed	2026-05-18T02:57:17.309743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd5ac461a1ea413a32f5cd5841f5b29ac29f8145a4d34ead350fe0cb11539b2c

Aliases

arxiv: 1311.3342 · arxiv_version: 1311.3342v2 · doi: 10.48550/arxiv.1311.3342 · pith_short_12: 7VNMIYNB5JAT · pith_short_16: 7VNMIYNB5JATUMXV · pith_short_8: 7VNMIYNB

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/7VNMIYNB5JATUMXVZVMED5NSTL \
  | 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: fd5ac461a1ea413a32f5cd5841f5b29ac29f8145a4d34ead350fe0cb11539b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32953b047bd5dd3c762157513decfea1a68d3b72f4e34c898e7d56880396e4c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2013-11-13T23:47:38Z",
    "title_canon_sha256": "4dda9d8b1642f0b53a93a0bab049d820a5ca1e3f11067d93e8790fe152e00481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3342",
    "kind": "arxiv",
    "version": 2
  }
}