Pith Number

pith:72QVPA6P

pith:2003:72QVPA6PA5KS6MY5ARK7OAVRWT

not attested not anchored not stored refs pending

Gravitational collapse of a Hagedorn fluid in Vaidya geometry

T. Harko

arxiv:gr-qc/0307064 v1 · 2003-07-14 · 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{72QVPA6PA5KS6MY5ARK7OAVRWT}

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	2026-07-04T16:40:15.030669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea15783cf07552f331d0455f702b1b4ddc5a1ed332eb8fef76915c552d979ea

Aliases

arxiv: gr-qc/0307064 · arxiv_version: gr-qc/0307064v1 · doi: 10.48550/arxiv.gr-qc/0307064 · pith_short_12: 72QVPA6PA5KS · pith_short_16: 72QVPA6PA5KS6MY5 · pith_short_8: 72QVPA6P

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/72QVPA6PA5KS6MY5ARK7OAVRWT \
  | 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: fea15783cf07552f331d0455f702b1b4ddc5a1ed332eb8fef76915c552d979ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "705e33d909878c948ba5c02613a92b7e591fc648959f741372c15e77c92d00c9",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-07-14T01:37:47Z",
    "title_canon_sha256": "9135a4d62042e9b05af25ff22b867f15d9064a5f8335133bc2bfbe76d95727c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0307064",
    "kind": "arxiv",
    "version": 1
  }
}