Pith Number

pith:PTACZOPC

pith:2010:PTACZOPCILOBDX3ZOA2LY7PV3H

not attested not anchored not stored refs pending

Gravitational Charged Perfect Fluid Collapse in Friedmann Universe Models

G. Abbas, M. Sharif

arxiv:1001.5316 v1 · 2010-01-29 · 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{PTACZOPCILOBDX3ZOA2LY7PV3H}

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	2026-05-18T02:09:22.361455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc02cb9e242dc11df797034bc7df5d9c19b2ed78120ba4849df1666c2b24c7c

Aliases

arxiv: 1001.5316 · arxiv_version: 1001.5316v1 · doi: 10.48550/arxiv.1001.5316 · pith_short_12: PTACZOPCILOB · pith_short_16: PTACZOPCILOBDX3Z · pith_short_8: PTACZOPC

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/PTACZOPCILOBDX3ZOA2LY7PV3H \
  | 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: 7cc02cb9e242dc11df797034bc7df5d9c19b2ed78120ba4849df1666c2b24c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b4f437efbb4a6ca504608d9ad7aa93590a0909fa1e1f81ad36d2bb407b028b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-01-29T02:43:04Z",
    "title_canon_sha256": "ffd60bbcc5adf9ee7b1cc041c1eadb460c6355dae3e28dbc7ce900127c9d7bf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5316",
    "kind": "arxiv",
    "version": 1
  }
}