Pith Number

pith:DODCTOSQ

pith:2023:DODCTOSQBWH4F6TVL7DKALWBKW

not attested not anchored not stored refs pending

Double copy for tree-level form factors. Part II. Generalizations and special topics

Gang Yang, Guanda Lin

arxiv:2306.04672 v2 · 2023-06-07 · 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{DODCTOSQBWH4F6TVL7DKALWBKW}

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

Dyeing form factors as amplitudes

Double copy of form factors with multiple operator insertions

Receipt and verification

First computed	2026-07-05T07:45:27.899730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b8629ba500d8fc2fa755fc6a02ec155a8ac48a1ab2dd5daf80cbbe0e789ba5c

Aliases

arxiv: 2306.04672 · arxiv_version: 2306.04672v2 · doi: 10.48550/arxiv.2306.04672 · pith_short_12: DODCTOSQBWH4 · pith_short_16: DODCTOSQBWH4F6TV · pith_short_8: DODCTOSQ

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/DODCTOSQBWH4F6TVL7DKALWBKW \
  | 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: 1b8629ba500d8fc2fa755fc6a02ec155a8ac48a1ab2dd5daf80cbbe0e789ba5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "337698ab8466dac3c37c8230908c6617c61660b8772f4bbf037251dfb08220cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-06-07T18:00:00Z",
    "title_canon_sha256": "b00bd6c2a5b25d24bfa3b76de79c1e29c80cdd45c1a21854c0a2d02fb83ddc1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.04672",
    "kind": "arxiv",
    "version": 2
  }
}