Pith Number

pith:BMIBDB7X

pith:2011:BMIBDB7XYIPVJGIKTTEMWMB4C6

not attested not anchored not stored refs pending

Focal rigidity of hyperbolic surfaces

Ferry Kwakkel

arxiv:1112.5788 v2 · 2011-12-25 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMIBDB7XYIPVJGIKTTEMWMB4C6}

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	2026-05-18T02:52:42.422818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b101187f7c21f54990a9cc8cb303c178990357aedd877b434b527ccd305c3fa

Aliases

arxiv: 1112.5788 · arxiv_version: 1112.5788v2 · doi: 10.48550/arxiv.1112.5788 · pith_short_12: BMIBDB7XYIPV · pith_short_16: BMIBDB7XYIPVJGIK · pith_short_8: BMIBDB7X

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/BMIBDB7XYIPVJGIKTTEMWMB4C6 \
  | 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: 0b101187f7c21f54990a9cc8cb303c178990357aedd877b434b527ccd305c3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361e9014ccf4b1b664427ddeb8637fa16e167a54bb69ad9fc04f7e91bce474d3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-25T17:51:59Z",
    "title_canon_sha256": "9f127bcea02babf42a05b89eaabbfc87606f984666ddd99b136ced6cabd96a21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5788",
    "kind": "arxiv",
    "version": 2
  }
}