Pith Number

pith:4HKZGZQH

pith:1996:4HKZGZQHPD2CVCHQ3HBNBJ566A

not attested not anchored not stored refs pending

A Low-Density Closed Universe

Marc Kamionkowski, Nicolaos Toumbas (Columbia University)

arxiv:astro-ph/9601147 v1 · 1996-01-25 · astro-ph · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HKZGZQHPD2CVCHQ3HBNBJ566A}

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	2026-05-18T04:34:29.235040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1d593660778f42a88f0d9c2d0a7bef03cba012e98e2969ae729a615b51e43d4

Aliases

arxiv: astro-ph/9601147 · arxiv_version: astro-ph/9601147v1 · doi: 10.48550/arxiv.astro-ph/9601147 · pith_short_12: 4HKZGZQHPD2C · pith_short_16: 4HKZGZQHPD2CVCHQ · pith_short_8: 4HKZGZQH

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/4HKZGZQHPD2CVCHQ3HBNBJ566A \
  | 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: e1d593660778f42a88f0d9c2d0a7bef03cba012e98e2969ae729a615b51e43d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "615b5c4298acb61149da342eea012d618b25e833edfdb20db52d87c470a369b5",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1996-01-25T17:04:39Z",
    "title_canon_sha256": "55cff36b37f68b881345b584fa5afcea6a8230b78a900b6f22b32c7e24f9e081"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9601147",
    "kind": "arxiv",
    "version": 1
  }
}