Pith Number

pith:QWYVCK3G

pith:2012:QWYVCK3GH4PG74PPS6JZ2U7CYW

not attested not anchored not stored refs pending

Graphs, determinants and gravity amplitudes

Bo Feng, Song He

arxiv:1207.3220 v1 · 2012-07-13 · 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{QWYVCK3GH4PG74PPS6JZ2U7CYW}

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	2026-05-18T01:56:23.999363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b1512b663f1e6ff1ef97939d53e2c58e1ccfb1bfb6276e488c67e43fa09e1b

Aliases

arxiv: 1207.3220 · arxiv_version: 1207.3220v1 · doi: 10.48550/arxiv.1207.3220 · pith_short_12: QWYVCK3GH4PG · pith_short_16: QWYVCK3GH4PG74PP · pith_short_8: QWYVCK3G

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/QWYVCK3GH4PG74PPS6JZ2U7CYW \
  | 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: 85b1512b663f1e6ff1ef97939d53e2c58e1ccfb1bfb6276e488c67e43fa09e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2227aee64710aa519f3601783373672f331b387d76c0e74cb72c70b73b21348",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-13T12:34:06Z",
    "title_canon_sha256": "8a7a9858433ab03a78c8625ea0e9f8f5bcfad3bd22d5951ad38d29084fe01965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3220",
    "kind": "arxiv",
    "version": 1
  }
}