Pith Number

pith:GACS64XI

pith:2015:GACS64XIU5DJXERWUD6UQJGLTZ

not attested not anchored not stored refs pending

The geometry of singularities and the black hole information paradox

Ovidiu Cristinel Stoica

arxiv:1507.03131 v1 · 2015-07-11 · gr-qc · 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{GACS64XIU5DJXERWUD6UQJGLTZ}

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	2026-05-18T01:36:59.594163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30052f72e8a7469b9236a0fd4824cb9e788b0e0362de9cadd98d711da3ba5192

Aliases

arxiv: 1507.03131 · arxiv_version: 1507.03131v1 · doi: 10.48550/arxiv.1507.03131 · pith_short_12: GACS64XIU5DJ · pith_short_16: GACS64XIU5DJXERW · pith_short_8: GACS64XI

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/GACS64XIU5DJXERWUD6UQJGLTZ \
  | 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: 30052f72e8a7469b9236a0fd4824cb9e788b0e0362de9cadd98d711da3ba5192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daaa74c309b6d080ba2a9f660991930899d8075bf8344a9be96a567c5b17feb9",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-11T17:58:57Z",
    "title_canon_sha256": "69fefa9092995f945eef6254bfd9ed0367810499544f67823557e2139f250754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03131",
    "kind": "arxiv",
    "version": 1
  }
}