Pith Number

pith:FDQU5JTU

pith:2016:FDQU5JTU7BJAZ47ZPM4O4NNPCG

not attested not anchored not stored refs pending

Inequalities Between Size, Mass, Angular Momentum, and Charge for Axisymmetric Bodies and the Formation of Trapped Surfaces

Marcus Khuri, Naqing Xie

arxiv:1610.04892 v1 · 2016-10-16 · gr-qc · hep-th · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDQU5JTU7BJAZ47ZPM4O4NNPCG}

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	2026-05-18T00:20:07.383057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e14ea674f8520cf3f97b38ee35af11bad733f96850eed3af43e8a5f66a3c81

Aliases

arxiv: 1610.04892 · arxiv_version: 1610.04892v1 · doi: 10.48550/arxiv.1610.04892 · pith_short_12: FDQU5JTU7BJA · pith_short_16: FDQU5JTU7BJAZ47Z · pith_short_8: FDQU5JTU

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/FDQU5JTU7BJAZ47ZPM4O4NNPCG \
  | 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: 28e14ea674f8520cf3f97b38ee35af11bad733f96850eed3af43e8a5f66a3c81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f3d42de3896d0be443a99a68b0375db416428716f5ce0d59ef9829b50c2f86",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-10-16T17:25:16Z",
    "title_canon_sha256": "b4ddd8d311790a5638fb1801e875a0f6b1e4e7e70f12d96468cb2bf0439722c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04892",
    "kind": "arxiv",
    "version": 1
  }
}