Pith Number

pith:JI2C76GD

pith:2011:JI2C76GDNNGYPUZMKVIWTGOCWM

not attested not anchored not stored refs pending

Cosmological models and misunderstandings about them

Andrzej Krasi\'nski

arxiv:1110.1828 v2 · 2011-10-09 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JI2C76GDNNGYPUZMKVIWTGOCWM}

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

Physical geometry of the quasispherical Szekeres models

Receipt and verification

First computed	2026-05-18T04:07:07.593383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a342ff8c36b4d87d32c55516999c2b321889bd9a2e2a1aec4c59ed79a820132

Aliases

arxiv: 1110.1828 · arxiv_version: 1110.1828v2 · doi: 10.48550/arxiv.1110.1828 · pith_short_12: JI2C76GDNNGY · pith_short_16: JI2C76GDNNGYPUZM · pith_short_8: JI2C76GD

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/JI2C76GDNNGYPUZMKVIWTGOCWM \
  | 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: 4a342ff8c36b4d87d32c55516999c2b321889bd9a2e2a1aec4c59ed79a820132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f8f146877e8d0b344cb9b3f861ef7e36a7aaec0a7f14e6257ae17d5d6577132",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-09T12:20:11Z",
    "title_canon_sha256": "1a7b5901a1edb243a096dfbcd0e111d4b954f7634b8851f21c751ca12a93fcb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1828",
    "kind": "arxiv",
    "version": 2
  }
}