Pith Number

pith:SEUGZTK6

pith:1999:SEUGZTK6N3ULVQMODFTOGJSED7

not attested not anchored not stored refs pending

Isotropic cosmological singularities 1: Polytropic perfect fluid spacetimes

K. Anguige (Max Planck Institut fuer Gravitationsphysik, K. P. Tod (Mathematical Institute, Oxford), Potsdam)

arxiv:gr-qc/9903008 v1 · 1999-03-02 · 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{SEUGZTK6N3ULVQMODFTOGJSED7}

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

The free boundary problem in general relativity

Receipt and verification

First computed	2026-07-04T16:13:49.617936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91286ccd5e6ee8bac18e1966e326441fdf4c48e4e13d1e941d498f06eb4d5153

Aliases

arxiv: gr-qc/9903008 · arxiv_version: gr-qc/9903008v1 · doi: 10.48550/arxiv.gr-qc/9903008 · pith_short_12: SEUGZTK6N3UL · pith_short_16: SEUGZTK6N3ULVQMO · pith_short_8: SEUGZTK6

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/SEUGZTK6N3ULVQMODFTOGJSED7 \
  | 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: 91286ccd5e6ee8bac18e1966e326441fdf4c48e4e13d1e941d498f06eb4d5153

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05908c5c79027ce8811dc80f934312a3d2e395fb978f3648962007eb57b21437",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-03-02T10:35:18Z",
    "title_canon_sha256": "f2ac9c7f8241398e1eeea6b2feb4d3a89ccf64162d3ebc126493e6a2ab1311e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9903008",
    "kind": "arxiv",
    "version": 1
  }
}