Pith Number

pith:P7VHVIRN

pith:2011:P7VHVIRNFH7HTCR3XHDU7WG253

not attested not anchored not stored refs pending

Rigidity of area-minimizing hyperbolic surfaces in three-manifolds

Ivaldo Nunes

arxiv:1103.4805 v1 · 2011-03-24 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7VHVIRNFH7HTCR3XHDU7WG253}

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	2026-05-18T04:26:00.846237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fea7aa22d29fe798a3bb9c74fd8daeed673f29fa714a4c5ee5fa8861bed57ef

Aliases

arxiv: 1103.4805 · arxiv_version: 1103.4805v1 · doi: 10.48550/arxiv.1103.4805 · pith_short_12: P7VHVIRNFH7H · pith_short_16: P7VHVIRNFH7HTCR3 · pith_short_8: P7VHVIRN

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/P7VHVIRNFH7HTCR3XHDU7WG253 \
  | 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: 7fea7aa22d29fe798a3bb9c74fd8daeed673f29fa714a4c5ee5fa8861bed57ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f0d5d4d24fa333f4dcb9193681994b52b0c18666d88f5cdeec694c66f86e9d8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-24T16:48:35Z",
    "title_canon_sha256": "2f3e95037b0d3a7a41a27ffb69c6f96ebace02d69d18b57cfbf7ba7f3a303592"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4805",
    "kind": "arxiv",
    "version": 1
  }
}