Pith Number

pith:APZKB7J3

pith:2022:APZKB7J3YXU77LWDBXSZFSLK4T

not attested not anchored not stored refs pending

100 years of mathematical cosmology: Models, theories, and problems

Alexander P. Yefremov, Spiros Cotsakis

arxiv:2203.16443 v1 · 2022-03-15 · physics.hist-ph · astro-ph.CO · gr-qc · 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{APZKB7J3YXU77LWDBXSZFSLK4T}

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

Structural stability and general relativity

Receipt and verification

First computed	2026-07-05T04:10:10.634560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f2a0fd3bc5e9ffaec30de592c96ae4fbeeb8785423621af3a645db68b99643

Aliases

arxiv: 2203.16443 · arxiv_version: 2203.16443v1 · doi: 10.48550/arxiv.2203.16443 · pith_short_12: APZKB7J3YXU7 · pith_short_16: APZKB7J3YXU77LWD · pith_short_8: APZKB7J3

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/APZKB7J3YXU77LWDBXSZFSLK4T \
  | 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: 03f2a0fd3bc5e9ffaec30de592c96ae4fbeeb8785423621af3a645db68b99643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "729f3e16fbb4812d2686b0efafa11f265ad71c895fc741cde550518a64f2ca6a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2022-03-15T15:21:37Z",
    "title_canon_sha256": "e177d69a822419eecbda895e99c8512b38064cd1c55fd017fbde129294d0e937"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.16443",
    "kind": "arxiv",
    "version": 1
  }
}