Pith Number

pith:IKDPNS6N

pith:2012:IKDPNS6NDSZOMT2VUM26OUNTLX

not attested not anchored not stored refs pending

Gravothermal Catastrophe with a Cosmological Constant

George Georgiou, Minos Axenides, Zacharias Roupas

arxiv:1206.2839 v2 · 2012-06-13 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IKDPNS6NDSZOMT2VUM26OUNTLX}

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	2026-05-18T03:41:42.006309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4286f6cbcd1cb2e64f55a335e751b35de1c225d802b6177c6e611ddfb1efe278

Aliases

arxiv: 1206.2839 · arxiv_version: 1206.2839v2 · doi: 10.48550/arxiv.1206.2839 · pith_short_12: IKDPNS6NDSZO · pith_short_16: IKDPNS6NDSZOMT2V · pith_short_8: IKDPNS6N

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/IKDPNS6NDSZOMT2VUM26OUNTLX \
  | 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: 4286f6cbcd1cb2e64f55a335e751b35de1c225d802b6177c6e611ddfb1efe278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7023e8eee3017a96b75d354008cf07ffa912ecfae8afca5b3b8808e5a81301",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-13T15:24:50Z",
    "title_canon_sha256": "ae3e866b6cb89c814526a3d0117233e286e99fc8e26adf49af664290b6cf2bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2839",
    "kind": "arxiv",
    "version": 2
  }
}