Pith Number

pith:WFPU3G23

pith:1999:WFPU3G23MU3X3K3OYT7ZFL7T5O

not attested not anchored not stored refs pending

Topology of the Universe: Theory and Observations

Boudewijn F. Roukema (IUCAA), Jean-Pierre Luminet (DARC, ObsPMeudon)

arxiv:astro-ph/9901364 v3 · 1999-01-26 · astro-ph · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFPU3G23MU3X3K3OYT7ZFL7T5O}

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

Gravitational waves and cosmic boundary

Receipt and verification

First computed	2026-07-04T14:16:31.205503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b15f4d9b5b65377dab6ec4ff92aff3eb897da68bb92eb367be6ab7ad9b856443

Aliases

arxiv: astro-ph/9901364 · arxiv_version: astro-ph/9901364v3 · doi: 10.48550/arxiv.astro-ph/9901364 · pith_short_12: WFPU3G23MU3X · pith_short_16: WFPU3G23MU3X3K3O · pith_short_8: WFPU3G23

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/WFPU3G23MU3X3K3OYT7ZFL7T5O \
  | 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: b15f4d9b5b65377dab6ec4ff92aff3eb897da68bb92eb367be6ab7ad9b856443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5310ddecfaeecdaf45da5c53b8bd1442ed02025dbe2b8d8ee79d22b898069af9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-01-26T20:00:28Z",
    "title_canon_sha256": "f33a8e99c0d2276bfe3e0c3ef97f7066e8679757caa4b147ac31552404ccf47b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9901364",
    "kind": "arxiv",
    "version": 3
  }
}