Pith Number

pith:KOETWHIY

pith:2012:KOETWHIYXZORK42ROFQU3AWQQV

not attested not anchored not stored refs pending

The equality case of the Penrose inequality for asymptotically flat graphs

Damin Wu, Lan-Hsuan Huang

arxiv:1205.2061 v2 · 2012-05-09 · math.DG · 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{KOETWHIYXZORK42ROFQU3AWQQV}

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	2026-05-18T03:26:41.291885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53893b1d18be5d15735171614d82d0857ca70bd2bf757efde3cbf30937db7575

Aliases

arxiv: 1205.2061 · arxiv_version: 1205.2061v2 · doi: 10.48550/arxiv.1205.2061 · pith_short_12: KOETWHIYXZOR · pith_short_16: KOETWHIYXZORK42R · pith_short_8: KOETWHIY

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/KOETWHIYXZORK42ROFQU3AWQQV \
  | 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: 53893b1d18be5d15735171614d82d0857ca70bd2bf757efde3cbf30937db7575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d10353f64e2a6310d0e010207f14f5dcd878173db8a3d9a74ce3c6bc565b2c3f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-09T18:37:52Z",
    "title_canon_sha256": "321d14ce7f6baed23ceb1a610b0918777ac86d29504ba03c6db415a24a087b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2061",
    "kind": "arxiv",
    "version": 2
  }
}