Pith Number

pith:OBDRW2QZ

pith:2009:OBDRW2QZNSSF347T2GIK7VPRUC

not attested not anchored not stored refs pending

Total curvature of complete surfaces in hyperbolic space

Gil Solanes

arxiv:0902.0672 v2 · 2009-02-04 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OBDRW2QZNSSF347T2GIK7VPRUC}

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	2026-05-18T04:17:03.588083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70471b6a196ca45df3f3d190afd5f1a086dc79ceafe4c1c88cd925590872b5ad

Aliases

arxiv: 0902.0672 · arxiv_version: 0902.0672v2 · doi: 10.48550/arxiv.0902.0672 · pith_short_12: OBDRW2QZNSSF · pith_short_16: OBDRW2QZNSSF347T · pith_short_8: OBDRW2QZ

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/OBDRW2QZNSSF347T2GIK7VPRUC \
  | 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: 70471b6a196ca45df3f3d190afd5f1a086dc79ceafe4c1c88cd925590872b5ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67455464eda408e43f43d37dad1adb4c978a6b5ab5c4238b9f1aca3985ecc33a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-02-04T09:04:39Z",
    "title_canon_sha256": "42886385b5407a75d8cd3b6c06177aabdc9404267b05092eb0bc8e52a168e73d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0672",
    "kind": "arxiv",
    "version": 2
  }
}