Pith Number

pith:MZE4XFIH

pith:2010:MZE4XFIHYJWSG4K2PBUGRSMRC7

not attested not anchored not stored refs pending

Proof of Gravity and Yang-Mills Amplitude Relations

Bo Feng, N.E.J. Bjerrum-Bohr, Poul H. Damgaard, Thomas Sondergaard

arxiv:1007.3111 v1 · 2010-07-19 · 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{MZE4XFIHYJWSG4K2PBUGRSMRC7}

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

Hidden Zeros and $2$-split via BCFW Recursion Relation

Twisted de Rham theory for string double copy in AdS

Receipt and verification

First computed	2026-05-18T02:33:09.040890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6649cb9507c26d23715a786868c99117c99074af95fdc43562a6e7c694765d80

Aliases

arxiv: 1007.3111 · arxiv_version: 1007.3111v1 · doi: 10.48550/arxiv.1007.3111 · pith_short_12: MZE4XFIHYJWS · pith_short_16: MZE4XFIHYJWSG4K2 · pith_short_8: MZE4XFIH

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/MZE4XFIHYJWSG4K2PBUGRSMRC7 \
  | 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: 6649cb9507c26d23715a786868c99117c99074af95fdc43562a6e7c694765d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77645954f09f1ebbed99552ef97719940535b61522f189c7d886eb006fce3626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-07-19T10:19:10Z",
    "title_canon_sha256": "1e21e70564949367b097c773f50dec2c4b8bb7689e8ac9298e8c9d653ef1de32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3111",
    "kind": "arxiv",
    "version": 1
  }
}