Pith Number

pith:72BUCDTJ

pith:2011:72BUCDTJOTN2Y3LFCVXMTDWVVB

not attested not anchored not stored refs pending

Charged Perfect Fluid Cylindrical Gravitational Collapse

Ghulam Abbas, Muhammad Sharif

arxiv:1109.3012 v1 · 2011-09-14 · 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{72BUCDTJOTN2Y3LFCVXMTDWVVB}

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	2026-05-18T02:00:33.163364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe83410e6974dbac6d65156ec98ed5a849ebd4119fc44914d312cfbede5ec5b4

Aliases

arxiv: 1109.3012 · arxiv_version: 1109.3012v1 · doi: 10.48550/arxiv.1109.3012 · pith_short_12: 72BUCDTJOTN2 · pith_short_16: 72BUCDTJOTN2Y3LF · pith_short_8: 72BUCDTJ

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/72BUCDTJOTN2Y3LFCVXMTDWVVB \
  | 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: fe83410e6974dbac6d65156ec98ed5a849ebd4119fc44914d312cfbede5ec5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7106f8e52c686d331b79f06904f77d5f173e7b946acb8d697c5e5f7f79742698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-14T07:51:03Z",
    "title_canon_sha256": "7ab783c01b8a8669b80515e1586c6360cadb483dc80f1a8f8135320800ae75e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3012",
    "kind": "arxiv",
    "version": 1
  }
}