Pith Number

pith:PPZY3K7C

pith:2015:PPZY3K7CYXY2HJXNNGAXGK4EKR

not attested not anchored not stored refs pending

A Goldberg-Sachs theorem in dimension three

Arman Taghavi-Chabert, Pawel Nurowski

arxiv:1502.00304 v2 · 2015-02-01 · gr-qc · hep-th · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPZY3K7CYXY2HJXNNGAXGK4EKR}

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	2026-05-18T02:12:10.851101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf38dabe2c5f1a3a6ed6981732b845443e8af1efe8c4b05ad0287951666c600

Aliases

arxiv: 1502.00304 · arxiv_version: 1502.00304v2 · doi: 10.48550/arxiv.1502.00304 · pith_short_12: PPZY3K7CYXY2 · pith_short_16: PPZY3K7CYXY2HJXN · pith_short_8: PPZY3K7C

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/PPZY3K7CYXY2HJXNNGAXGK4EKR \
  | 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: 7bf38dabe2c5f1a3a6ed6981732b845443e8af1efe8c4b05ad0287951666c600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f422cbcdd3069317a085afa8ee6776a83742b47e1c4011e65c7a6d391f679c7",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-02-01T20:24:02Z",
    "title_canon_sha256": "c8856d454d9c19ef79def24cb46c052ee7ffc0661416b5f3de5601209a489397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00304",
    "kind": "arxiv",
    "version": 2
  }
}