Pith Number

pith:JPRIAZWF

pith:1994:JPRIAZWFS5XCBKO6ZLWAEIOAW2

not attested not anchored not stored refs pending

The abstract boundary---a new approach to singularities of manifolds

Peter Szekeres, Susan M. Scott

arxiv:gr-qc/9405063 v1 · 1994-05-26 · 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{JPRIAZWFS5XCBKO6ZLWAEIOAW2}

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.

Cited by

1 paper in Pith

$C^0$-inextendibility of a class of warped-product black hole spacetimes

Receipt and verification

First computed	2026-05-18T04:34:17.565596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be28066c5976e20a9decaec0221c0b698f6f1cf0f3f2005b21d6e21f8ec3ed0

Aliases

arxiv: gr-qc/9405063 · arxiv_version: gr-qc/9405063v1 · doi: 10.48550/arxiv.gr-qc/9405063 · pith_short_12: JPRIAZWFS5XC · pith_short_16: JPRIAZWFS5XCBKO6 · pith_short_8: JPRIAZWF

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/JPRIAZWFS5XCBKO6ZLWAEIOAW2 \
  | 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: 4be28066c5976e20a9decaec0221c0b698f6f1cf0f3f2005b21d6e21f8ec3ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6dc8cbf7f82434ab125731a658a81f772ddd69fb0b8463c734c36391e3e1774",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-05-26T20:38:55Z",
    "title_canon_sha256": "66c538142f75b5aca59da716c49ce9d83d292c6375082dbbc72ffe97aa34ed30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9405063",
    "kind": "arxiv",
    "version": 1
  }
}