Pith Number

pith:WPKUUMWG

pith:2013:WPKUUMWGPZVSZ5KMEQK4CCRS5L

not attested not anchored not stored refs pending

Evolution of the Cosmological Horizons in a Universe with Countably Infinitely Many State Equations

Berta Margalef-Bentabol, Jordi Cepa, Juan Margalef-Bentabol

arxiv:1302.2186 v3 · 2013-02-09 · astro-ph.CO · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPKUUMWGPZVSZ5KMEQK4CCRS5L}

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	2026-05-18T01:32:08.644452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d54a32c67e6b2cf54c2415c10a32eaf1215098a219ddce5507a9ad5bb44fc6

Aliases

arxiv: 1302.2186 · arxiv_version: 1302.2186v3 · doi: 10.48550/arxiv.1302.2186 · pith_short_12: WPKUUMWGPZVS · pith_short_16: WPKUUMWGPZVSZ5KM · pith_short_8: WPKUUMWG

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/WPKUUMWGPZVSZ5KMEQK4CCRS5L \
  | 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: b3d54a32c67e6b2cf54c2415c10a32eaf1215098a219ddce5507a9ad5bb44fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e96c09a0c21f8d8eb9d035dfabb14f608f86efa8a76c5c45ac756a8cc2cdcf",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-02-09T01:54:50Z",
    "title_canon_sha256": "9b51c39bf7ed137dfe2a8cbc13b89abd281de664fca3cc28422b21000a16cce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2186",
    "kind": "arxiv",
    "version": 3
  }
}