Pith Number

pith:3W64IQV5

pith:2012:3W64IQV57OKCLDZCPARZHWXOAC

not attested not anchored not stored refs pending

Penrose type inequalities for asymptotically hyperbolic graphs

Anna Sakovich, Mattias Dahl, Romain Gicquaud

arxiv:1201.3321 v2 · 2012-01-16 · 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{3W64IQV57OKCLDZCPARZHWXOAC}

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	2026-05-18T03:21:43.776322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddbdc442bdfb94258f22782393daee009d23b60c82702a6b6422e6997f6be897

Aliases

arxiv: 1201.3321 · arxiv_version: 1201.3321v2 · doi: 10.48550/arxiv.1201.3321 · pith_short_12: 3W64IQV57OKC · pith_short_16: 3W64IQV57OKCLDZC · pith_short_8: 3W64IQV5

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/3W64IQV57OKCLDZCPARZHWXOAC \
  | 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: ddbdc442bdfb94258f22782393daee009d23b60c82702a6b6422e6997f6be897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "625162e73262f3663019c3971c5c27f6d2f4ad3a510e9a8841182abdf78b4f12",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-16T17:30:01Z",
    "title_canon_sha256": "d64e556a04f28e4818a90259367a1a5bccc93042b3a4e14ec49e2d8fc237f328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3321",
    "kind": "arxiv",
    "version": 2
  }
}