Pith Number

pith:VJQ7DCJ6

pith:2012:VJQ7DCJ6NJ2BFJM4LNQBG45LYZ

not attested not anchored not stored refs pending

Singularities in cosmologies with interacting fluids

Georgia Kittou, Spiros Cotsakis

arxiv:1202.1407 v2 · 2012-02-07 · gr-qc · 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{VJQ7DCJ6NJ2BFJM4LNQBG45LYZ}

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	2026-05-18T01:58:32.990089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa61f1893e6a7412a59c5b601373abc66cf108834788e7a34b06981c316a3269

Aliases

arxiv: 1202.1407 · arxiv_version: 1202.1407v2 · doi: 10.48550/arxiv.1202.1407 · pith_short_12: VJQ7DCJ6NJ2B · pith_short_16: VJQ7DCJ6NJ2BFJM4 · pith_short_8: VJQ7DCJ6

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/VJQ7DCJ6NJ2BFJM4LNQBG45LYZ \
  | 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: aa61f1893e6a7412a59c5b601373abc66cf108834788e7a34b06981c316a3269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6305478743f60171bde66e9376c415cdab43eaed11d1658fc40fa3cf1c4ffaa6",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-02-07T12:58:15Z",
    "title_canon_sha256": "7c9376390bae9fedaa25ea94dd28a6fb4a57a0e2c846a2911d3798ec56a0705e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1407",
    "kind": "arxiv",
    "version": 2
  }
}