Pith Number

pith:4ETA26UU

pith:2011:4ETA26UU3CYHNEVUXLZDDFCJER

not attested not anchored not stored refs pending

On the Number of Cosmic Strings

Franco Pezzella, Giuseppe Longo, Mikhail Sazhin, Olga Sazhina, Rosa Consiglio

arxiv:1112.5186 v3 · 2011-12-21 · 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{4ETA26UU3CYHNEVUXLZDDFCJER}

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	2026-05-18T00:48:48.065994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1260d7a94d8b07692b4baf2319449244c8a968fc261f3122439f61348445294

Aliases

arxiv: 1112.5186 · arxiv_version: 1112.5186v3 · doi: 10.48550/arxiv.1112.5186 · pith_short_12: 4ETA26UU3CYH · pith_short_16: 4ETA26UU3CYHNEVU · pith_short_8: 4ETA26UU

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/4ETA26UU3CYHNEVUXLZDDFCJER \
  | 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: e1260d7a94d8b07692b4baf2319449244c8a968fc261f3122439f61348445294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8457e92c95a2eb4939079f6bec88166f8c3047d946680fcab92b61450cf7b93f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-12-21T21:48:53Z",
    "title_canon_sha256": "b9e8b1411fe244bbc59a970b23380bc842b764d9415f42cf978dd129476761e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5186",
    "kind": "arxiv",
    "version": 3
  }
}