Pith Number

pith:QFEI5O3X

pith:2000:QFEI5O3XUMCPYHIRRXTLT64OPE

not attested not anchored not stored refs pending

Discrete structures in gravity

Ruth M. Williams, Tullio Regge

arxiv:gr-qc/0012035 v1 · 2000-12-09 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFEI5O3XUMCPYHIRRXTLT64OPE}

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	2026-05-18T04:17:53.199126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81488ebb77a304fc1d118de6b9fb8e79256fe9c02a6fa1ac9f949d26a6cc066f

Aliases

arxiv: gr-qc/0012035 · arxiv_version: gr-qc/0012035v1 · doi: 10.48550/arxiv.gr-qc/0012035 · pith_short_12: QFEI5O3XUMCP · pith_short_16: QFEI5O3XUMCPYHIR · pith_short_8: QFEI5O3X

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/QFEI5O3XUMCPYHIRRXTLT64OPE \
  | 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: 81488ebb77a304fc1d118de6b9fb8e79256fe9c02a6fa1ac9f949d26a6cc066f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a65c02895c0314a15d00d6a5f41851050b15dc05a127bf35eae3061e0585e8f5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-09T15:10:53Z",
    "title_canon_sha256": "cf8e92d624b13f7dcff140ad049de09b5573dc346cd61d0792cc0e6bc16119cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012035",
    "kind": "arxiv",
    "version": 1
  }
}