Pith Number

pith:NDPM7R2W

pith:2009:NDPM7R2WNCJKBCJDPDSJATQIGO

not attested not anchored not stored refs pending

Local Spacetime Physics from the Grassmannian

Freddy Cachazo, Jacob Bourjaily, Jaroslav Trnka, Nima Arkani-Hamed

arxiv:0912.3249 v2 · 2009-12-17 · 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{NDPM7R2WNCJKBCJDPDSJATQIGO}

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.

Receipt and verification

First computed	2026-05-18T04:30:36.907221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68decfc7566892a0892378e4904e083389ca3e181fc080f9fb831e14fec34a2a

Aliases

arxiv: 0912.3249 · arxiv_version: 0912.3249v2 · doi: 10.48550/arxiv.0912.3249 · pith_short_12: NDPM7R2WNCJK · pith_short_16: NDPM7R2WNCJKBCJD · pith_short_8: NDPM7R2W

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/NDPM7R2WNCJKBCJDPDSJATQIGO \
  | 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: 68decfc7566892a0892378e4904e083389ca3e181fc080f9fb831e14fec34a2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "875be258622fd10aba16f8252f058cbda65b004df575eb872c045a1beeb079ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-12-17T20:53:37Z",
    "title_canon_sha256": "6ac33a79bca952b530d2c10af4933ad683815e804237f5d9e0b316f795de7ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3249",
    "kind": "arxiv",
    "version": 2
  }
}