Pith Number

pith:TXDPYNU6

pith:2013:TXDPYNU6ENWESA5TMM6IC7YAQF

not attested not anchored not stored refs pending

Evolution of the Cosmological Horizons in a Concordance Universe

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

arxiv:1302.1609 v3 · 2013-02-06 · 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{TXDPYNU6ENWESA5TMM6IC7YAQF}

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	2026-05-18T01:32:11.077435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc6fc369e236c4903b3633c817f008157fb53edeadf34c018cc7fd2f9103165

Aliases

arxiv: 1302.1609 · arxiv_version: 1302.1609v3 · doi: 10.48550/arxiv.1302.1609 · pith_short_12: TXDPYNU6ENWE · pith_short_16: TXDPYNU6ENWESA5T · pith_short_8: TXDPYNU6

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/TXDPYNU6ENWESA5TMM6IC7YAQF \
  | 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: 9dc6fc369e236c4903b3633c817f008157fb53edeadf34c018cc7fd2f9103165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf2a014272af3ecb3934abf070bd8b9ccdef399d5f93961ba4de9c88b0244ad2",
    "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": "2013-02-06T23:15:38Z",
    "title_canon_sha256": "dfcbb69c29686f17d82e358bb49728819592deb2d1463af8d8883c681d71b81a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1609",
    "kind": "arxiv",
    "version": 3
  }
}