Pith Number

pith:AOPPJ3EC

pith:2022:AOPPJ3ECSDUCTN6VHIH6TKV6CC

not attested not anchored not stored refs pending

Amplitudes, Hopf algebras and the colour-kinematics duality

Andreas Brandhuber, Congkao Wen, Gabriele Travaglini, Gang Chen, Graham R. Brown, Joshua Gowdy

arxiv:2208.05886 v2 · 2022-08-11 · 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{AOPPJ3ECSDUCTN6VHIH6TKV6CC}

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

HEFT Numerators from Kinematic Algebra

Receipt and verification

First computed	2026-07-05T05:50:07.844586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

039ef4ec8290e829b7d53a0fe9aabe108038afd6478b7e180d1f4612b1b459dd

Aliases

arxiv: 2208.05886 · arxiv_version: 2208.05886v2 · doi: 10.48550/arxiv.2208.05886 · pith_short_12: AOPPJ3ECSDUC · pith_short_16: AOPPJ3ECSDUCTN6V · pith_short_8: AOPPJ3EC

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/AOPPJ3ECSDUCTN6VHIH6TKV6CC \
  | 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: 039ef4ec8290e829b7d53a0fe9aabe108038afd6478b7e180d1f4612b1b459dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba2f686910fee967e4e8187cea8f260f8792ae12de1a4071f5e329954c55d5c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-08-11T15:40:39Z",
    "title_canon_sha256": "f36f4d8d6bf3191ce52921b4c9c29fe00829b1f9429c1162d50149b2756fc874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.05886",
    "kind": "arxiv",
    "version": 2
  }
}