Pith Number

pith:5TIUKYUA

pith:2022:5TIUKYUATQMNNQ7WGGD5H5KLE3

not attested not anchored not stored refs pending

Kinematic Hopf algebra for amplitudes and form factors

Congkao Wen, Gang Chen, Guanda Lin

arxiv:2208.05519 v2 · 2022-08-10 · 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{5TIUKYUATQMNNQ7WGGD5H5KLE3}

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

Off-shell double copy theories in BV

Receipt and verification

First computed	2026-07-05T06:03:25.018613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecd14562809c18d6c3f63187d3f54b26f47ffda52572419bfbeb5d286d76eeef

Aliases

arxiv: 2208.05519 · arxiv_version: 2208.05519v2 · doi: 10.48550/arxiv.2208.05519 · pith_short_12: 5TIUKYUATQMN · pith_short_16: 5TIUKYUATQMNNQ7W · pith_short_8: 5TIUKYUA

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/5TIUKYUATQMNNQ7WGGD5H5KLE3 \
  | 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: ecd14562809c18d6c3f63187d3f54b26f47ffda52572419bfbeb5d286d76eeef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a23ee899419908d3eeb6a2fa51d5026b858ce2eb4def40d7927edfa7de3e3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-08-10T18:29:09Z",
    "title_canon_sha256": "4b2f759b615925a3f30031ee39c20d29eecd6c865db796a29b58cad5d6e57541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05519",
    "kind": "arxiv",
    "version": 2
  }
}