Pith Number

pith:WB7OR4BL

pith:2015:WB7OR4BLIHHS56ZUWLBH7DJREE

not attested not anchored not stored refs pending

Uniform hyperbolicity for curve graphs of non-orientable surfaces

Erika Kuno

arxiv:1504.02937 v1 · 2015-04-12 · 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{WB7OR4BLIHHS56ZUWLBH7DJREE}

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	2026-05-18T00:46:53.823705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07ee8f02b41cf2efb34b2c27f8d3121124fa770bcb33eb470f6bc2c8bb085a3

Aliases

arxiv: 1504.02937 · arxiv_version: 1504.02937v1 · doi: 10.48550/arxiv.1504.02937 · pith_short_12: WB7OR4BLIHHS · pith_short_16: WB7OR4BLIHHS56ZU · pith_short_8: WB7OR4BL

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/WB7OR4BLIHHS56ZUWLBH7DJREE \
  | 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: b07ee8f02b41cf2efb34b2c27f8d3121124fa770bcb33eb470f6bc2c8bb085a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1535e9c541621f62816e09399a9435b11808a82b3746b2b0d8e82aa08f2117ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-12T06:38:18Z",
    "title_canon_sha256": "0d1c127c1f8dc3aa7f5604b3d8a85daf8dd449e6a220c2efe1952281f50af500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02937",
    "kind": "arxiv",
    "version": 1
  }
}