Pith Number

pith:UFU3RNN7

pith:2012:UFU3RNN77BUV3UZ76SSWYQQBI5

not attested not anchored not stored refs pending

Reconstruction of the equation of state for the cyclic universes in homogeneous and isotropic cosmology

Kazuharu Bamba, Koblandy Yerzhanov, Kuralay Yesmakhanova, Ratbay Myrzakulov

arxiv:1203.3401 v3 · 2012-03-15 · 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{UFU3RNN77BUV3UZ76SSWYQQBI5}

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	2026-05-18T03:02:43.947251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a169b8b5bff8695dd33ff4a56c420147593b531b7a48234c6165b7c7899584c8

Aliases

arxiv: 1203.3401 · arxiv_version: 1203.3401v3 · doi: 10.48550/arxiv.1203.3401 · pith_short_12: UFU3RNN77BUV · pith_short_16: UFU3RNN77BUV3UZ7 · pith_short_8: UFU3RNN7

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/UFU3RNN77BUV3UZ76SSWYQQBI5 \
  | 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: a169b8b5bff8695dd33ff4a56c420147593b531b7a48234c6165b7c7899584c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a652a40583ecb690438d3e14819c03529b8003dc04c9346cfe288db174425ea1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-15T15:59:19Z",
    "title_canon_sha256": "f9347c1084557d71e468a0ea0e85774a7055bbce187455cffe449ee65b0554b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3401",
    "kind": "arxiv",
    "version": 3
  }
}