Pith Number

pith:VGJHBPPI

pith:2013:VGJHBPPISL45JVT2HOJVRPO2S3

not attested not anchored not stored refs pending

Isotropic stars in general relativity

M. K. Mak, T. Harko

arxiv:1309.5123 v2 · 2013-09-20 · gr-qc · astro-ph.SR · 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{VGJHBPPISL45JVT2HOJVRPO2S3}

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	2026-05-18T01:47:35.270262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99270bde892f9d4d67a3b9358bdda96d658cc8ceab651989d73449a527051da

Aliases

arxiv: 1309.5123 · arxiv_version: 1309.5123v2 · doi: 10.48550/arxiv.1309.5123 · pith_short_12: VGJHBPPISL45 · pith_short_16: VGJHBPPISL45JVT2 · pith_short_8: VGJHBPPI

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/VGJHBPPISL45JVT2HOJVRPO2S3 \
  | 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: a99270bde892f9d4d67a3b9358bdda96d658cc8ceab651989d73449a527051da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1239f2655df9add8708108ae32167a4d178059700a425511da2bc3c5950447f4",
    "cross_cats_sorted": [
      "astro-ph.SR",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-09-20T01:04:57Z",
    "title_canon_sha256": "d05cb55fd344914a21935e71a588f1f69341488d8f958f39b0934853a7754244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5123",
    "kind": "arxiv",
    "version": 2
  }
}