Pith Number

pith:UIGH62VI

pith:2013:UIGH62VISQYXYTUARXJEXNPDPU

not attested not anchored not stored refs pending

A penrose inequality for graphs over Kottler space

Chao Xia, Guofang Wang, Jie Wu, Yuxin Ge

arxiv:1309.6248 v1 · 2013-09-24 · 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{UIGH62VISQYXYTUARXJEXNPDPU}

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	2026-05-18T03:12:23.384759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a20c7f6aa894317c4e808dd24bb5e37d1a20ea79a0f9394856fe2f2cbd0dc6d0

Aliases

arxiv: 1309.6248 · arxiv_version: 1309.6248v1 · doi: 10.48550/arxiv.1309.6248 · pith_short_12: UIGH62VISQYX · pith_short_16: UIGH62VISQYXYTUA · pith_short_8: UIGH62VI

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/UIGH62VISQYXYTUARXJEXNPDPU \
  | 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: a20c7f6aa894317c4e808dd24bb5e37d1a20ea79a0f9394856fe2f2cbd0dc6d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e413e9d1e834f52908000a029e0faf31835e0ddef0026630cda9b86e03de7b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-24T16:48:40Z",
    "title_canon_sha256": "425fa382c622450ac1c16182bb1c488e5112a31df4c12d01f7e5d6bbe7350e52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6248",
    "kind": "arxiv",
    "version": 1
  }
}