Pith Number

pith:UXMJ6UBZ

pith:2009:UXMJ6UBZRFCKWXDEIACSROLSUQ

not attested not anchored not stored refs pending

The Brown-York mass and the Thorne hoop conjecture

Edward Malec, Naqing Xie, Niall O Murchadha, Roh-Suan Tung

arxiv:0912.4001 v1 · 2009-12-20 · 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{UXMJ6UBZRFCKWXDEIACSROLSUQ}

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	2026-05-18T04:36:33.963927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5d89f50398944ab5c64400528b972a41c666405fb357a8f57ccb69e3ec5d12d

Aliases

arxiv: 0912.4001 · arxiv_version: 0912.4001v1 · doi: 10.48550/arxiv.0912.4001 · pith_short_12: UXMJ6UBZRFCK · pith_short_16: UXMJ6UBZRFCKWXDE · pith_short_8: UXMJ6UBZ

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/UXMJ6UBZRFCKWXDEIACSROLSUQ \
  | 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: a5d89f50398944ab5c64400528b972a41c666405fb357a8f57ccb69e3ec5d12d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5742f7b3a141c33f1fad50ab4ac9e0eb4fd308f1aa16ec025c31ce3d700ce553",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2009-12-20T11:55:37Z",
    "title_canon_sha256": "efa5552395da3a912c571661e598cf0a06234e29e8c0f32e899f8be998fea634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4001",
    "kind": "arxiv",
    "version": 1
  }
}