Pith Number

pith:J52CLFRJ

pith:2012:J52CLFRJOGR7OBKY4Y4DUSR5IV

not attested not anchored not stored refs pending

A rigidity result for the graph case of the Penrose inequality

Frederico Gir\~ao, Levi Lopes de Lima

arxiv:1205.1132 v3 · 2012-05-05 · 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{J52CLFRJOGR7OBKY4Y4DUSR5IV}

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.

Cited by

1 paper in Pith

A new boundary mass for asymptotically flat half-manifolds

Receipt and verification

First computed	2026-07-05T03:01:31.288935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7425962971a3f70558e6383a4a3d4571403bd991de57182899e406eb269c12

Aliases

arxiv: 1205.1132 · arxiv_version: 1205.1132v3 · doi: 10.48550/arxiv.1205.1132 · pith_short_12: J52CLFRJOGR7 · pith_short_16: J52CLFRJOGR7OBKY · pith_short_8: J52CLFRJ

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/J52CLFRJOGR7OBKY4Y4DUSR5IV \
  | 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: 4f7425962971a3f70558e6383a4a3d4571403bd991de57182899e406eb269c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10ffaa9780952f472b3a494e028348352b18d0978f5065dd7b10fa2599ef55f5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-05T13:21:55Z",
    "title_canon_sha256": "5887a7dd53e299d493f0ea230357d9d3d280c2642ec8edb4feca6a8e6a22a6f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1132",
    "kind": "arxiv",
    "version": 3
  }
}