Pith Number

pith:QIS5VOJM

pith:2022:QIS5VOJM7Y46G3VHQFDUA5S6FG

not attested not anchored not stored refs pending

Double copy for tree-level form factors. Part I. Foundations

Gang Yang, Guanda Lin

arxiv:2211.01386 v2 · 2022-11-02 · 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{QIS5VOJM7Y46G3VHQFDUA5S6FG}

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	2026-07-05T07:45:25.588889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8225dab92cfe39e36ea7814740765e29a3d69a90795d6eb79566860fa95809f7

Aliases

arxiv: 2211.01386 · arxiv_version: 2211.01386v2 · doi: 10.48550/arxiv.2211.01386 · pith_short_12: QIS5VOJM7Y46 · pith_short_16: QIS5VOJM7Y46G3VH · pith_short_8: QIS5VOJM

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/QIS5VOJM7Y46G3VHQFDUA5S6FG \
  | 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: 8225dab92cfe39e36ea7814740765e29a3d69a90795d6eb79566860fa95809f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36b9c5c5eb3ff3cd5294b881fde92ae0c98aeca7e18bdf265b8814e0aa42c36e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-11-02T18:00:01Z",
    "title_canon_sha256": "1d4033d28f7fb2926e097fdd2b432376791fdc03ae594fbc2d950cd5398de9c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.01386",
    "kind": "arxiv",
    "version": 2
  }
}