Pith Number

pith:FB7ENCOL

pith:2021:FB7ENCOLG7IUQYF2DJMAUA2K6R

not attested not anchored not stored refs pending

Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles

Jin Dong, Linghui Hou, Song He

arxiv:2111.10525 v2 · 2021-11-20 · 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{FB7ENCOLG7IUQYF2DJMAUA2K6R}

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

Transmutation operators and expansions for $1$-loop Feynman integrands

Receipt and verification

First computed	2026-07-05T04:25:49.209357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

287e4689cb37d14860ba1a580a034af4774610e939202f836da9b243434da17f

Aliases

arxiv: 2111.10525 · arxiv_version: 2111.10525v2 · doi: 10.48550/arxiv.2111.10525 · pith_short_12: FB7ENCOLG7IU · pith_short_16: FB7ENCOLG7IUQYF2 · pith_short_8: FB7ENCOL

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/FB7ENCOLG7IUQYF2DJMAUA2K6R \
  | 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: 287e4689cb37d14860ba1a580a034af4774610e939202f836da9b243434da17f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87b017840b63bd94624b7c2bf4ff57a49ad0880372e544410730eec6474abc09",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-20T06:40:31Z",
    "title_canon_sha256": "3be6dd9896f62f8d87152d96a9293914ec606642e9d3d79b2c29da581659f61e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.10525",
    "kind": "arxiv",
    "version": 2
  }
}