Pith Number

pith:2VEZ5DA7

pith:2012:2VEZ5DA7KFMDVA72BLZAF6BPTZ

not attested not anchored not stored refs pending

Gravitational collapse with equation of state

Pankaj S. Joshi, R. V. Saraykar, Sanjay Sarwe

arxiv:1207.3200 v3 · 2012-07-13 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VEZ5DA7KFMDVA72BLZAF6BPTZ}

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	2026-05-18T02:26:39.583618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5499e8c1f51583a83fa0af202f82f9e698be9439715d6bc208854763792ceed

Aliases

arxiv: 1207.3200 · arxiv_version: 1207.3200v3 · doi: 10.48550/arxiv.1207.3200 · pith_short_12: 2VEZ5DA7KFMD · pith_short_16: 2VEZ5DA7KFMDVA72 · pith_short_8: 2VEZ5DA7

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/2VEZ5DA7KFMDVA72BLZAF6BPTZ \
  | 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: d5499e8c1f51583a83fa0af202f82f9e698be9439715d6bc208854763792ceed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ea937d54fb8166b0e2410d17695521a6a28dc75d696b9bcf20bff91cb9affee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-13T11:11:31Z",
    "title_canon_sha256": "d2d585a00b2283b2f55a918df9aad364e7cb7a8055a336e06e75632763b0e516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3200",
    "kind": "arxiv",
    "version": 3
  }
}