Pith Number

pith:5DU73Z7A

pith:1998:5DU73Z7AMJTHUOWZTB7MDIZLG6

not attested not anchored not stored refs pending

Origin of Classical Singularities

M. Heller (Vatican Observatory), Warsaw University of Technology), W Sasin (Institute of Mathematics

arxiv:gr-qc/9812047 v1 · 1998-12-14 · 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{5DU73Z7AMJTHUOWZTB7MDIZLG6}

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	2026-05-18T01:39:18.235865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8e9fde7e062667a3ad9987ec1a32b379b8b2c77e3a88f7efcdeec708d3b28e5

Aliases

arxiv: gr-qc/9812047 · arxiv_version: gr-qc/9812047v1 · doi: 10.48550/arxiv.gr-qc/9812047 · pith_short_12: 5DU73Z7AMJTH · pith_short_16: 5DU73Z7AMJTHUOWZ · pith_short_8: 5DU73Z7A

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/5DU73Z7AMJTHUOWZTB7MDIZLG6 \
  | 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: e8e9fde7e062667a3ad9987ec1a32b379b8b2c77e3a88f7efcdeec708d3b28e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5a7ba545b231003a61eedba9e6087df7d15f6f1ef694c6c9ec094bfd6f042c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-12-14T17:21:10Z",
    "title_canon_sha256": "9a024b27ac8ce59cd3df196ee57a922a662f5faf740c1d78fefb868fb21fb34a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9812047",
    "kind": "arxiv",
    "version": 1
  }
}