Pith Number

pith:QCR7DVV7

pith:2014:QCR7DVV7U3DSU3OPAJ6DEPM4TE

not attested not anchored not stored refs pending

Penrose's singularity theorem in a Finsler spacetime

Amir Babak Aazami, Miguel Angel Javaloyes

arxiv:1410.7595 v3 · 2014-10-28 · math.DG · gr-qc · math-ph · 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{QCR7DVV7U3DSU3OPAJ6DEPM4TE}

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	2026-05-18T01:19:55.582356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80a3f1d6bfa6c72a6dcf027c323d9c9900eb4e45ad05b3015364bc4cff4c28a9

Aliases

arxiv: 1410.7595 · arxiv_version: 1410.7595v3 · doi: 10.48550/arxiv.1410.7595 · pith_short_12: QCR7DVV7U3DS · pith_short_16: QCR7DVV7U3DSU3OP · pith_short_8: QCR7DVV7

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/QCR7DVV7U3DSU3OPAJ6DEPM4TE \
  | 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: 80a3f1d6bfa6c72a6dcf027c323d9c9900eb4e45ad05b3015364bc4cff4c28a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8107231555fd2c7852ae106290d32687204494346c0d8f05faf62fb90eef72db",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-28T11:49:34Z",
    "title_canon_sha256": "70905e7978a40e2fd4e8a36ece4e690fc75ede5d972eb7bf5d3081b628336130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7595",
    "kind": "arxiv",
    "version": 3
  }
}