Pith Number

pith:TOSGOZGD

pith:2013:TOSGOZGDKNSFT4QXXLTR2VHKAW

not attested not anchored not stored refs pending

Localized Penrose inequality for the Liu-Yau mass in spherical symmetry

Fei-Hung Ho, Jian-Liang Liu, Naqing Xie

arxiv:1311.0692 v1 · 2013-11-04 · 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{TOSGOZGDKNSFT4QXXLTR2VHKAW}

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	2026-05-18T03:08:05.126440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ba46764c3536459f217bae71d54ea05a04e3d808954cee12bb32ba404b76302

Aliases

arxiv: 1311.0692 · arxiv_version: 1311.0692v1 · doi: 10.48550/arxiv.1311.0692 · pith_short_12: TOSGOZGDKNSF · pith_short_16: TOSGOZGDKNSFT4QX · pith_short_8: TOSGOZGD

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/TOSGOZGDKNSFT4QXXLTR2VHKAW \
  | 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: 9ba46764c3536459f217bae71d54ea05a04e3d808954cee12bb32ba404b76302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a18233c0d33d1b7da3f6a2ffc1e99cc80ff644096f06608d1bd6b4d25c275784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-04T13:25:18Z",
    "title_canon_sha256": "7ee800aa6feee94149665caea6bf6894d77c7ee15496c2f71538fabf333c11de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0692",
    "kind": "arxiv",
    "version": 1
  }
}