Pith Number

pith:WRXGPXUM

pith:2009:WRXGPXUMDTIX54ZTO7RDCR4764

not attested not anchored not stored refs pending

Gravitational collapse of spherically symmetric stars in noncommutative general relativity

Ding Wang, Naqing Xie, R. B. Zhang, Wen Sun, Xiao Zhang

arxiv:0910.2777 v2 · 2009-10-15 · hep-th · 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{WRXGPXUMDTIX54ZTO7RDCR4764}

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	2026-05-18T04:29:54.020250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46e67de8c1cd17ef33377e231479ff709c9496a2133f0e4234a0cfa1e2a2e24

Aliases

arxiv: 0910.2777 · arxiv_version: 0910.2777v2 · doi: 10.48550/arxiv.0910.2777 · pith_short_12: WRXGPXUMDTIX · pith_short_16: WRXGPXUMDTIX54ZT · pith_short_8: WRXGPXUM

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/WRXGPXUMDTIX54ZTO7RDCR4764 \
  | 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: b46e67de8c1cd17ef33377e231479ff709c9496a2133f0e4234a0cfa1e2a2e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12feb2f81f363165485fdb77a88594b93fe6c50b5904619892b15e9190c5aeb",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-10-15T05:17:44Z",
    "title_canon_sha256": "78570e8c7bfa24943cfa11bda13158dea76154be214fa3f2f7424302d82a4449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2777",
    "kind": "arxiv",
    "version": 2
  }
}