Pith Number

pith:W3KURHQS

pith:2023:W3KURHQSCWJNM64KGJX2CZGPB6

not attested not anchored not stored refs pending

Counting geodesics between surface triangulations

Hugo Parlier, Lionel Pournin

arxiv:2308.05688 v1 · 2023-08-10 · math.GT · cs.CG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3KURHQSCWJNM64KGJX2CZGPB6}

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	2026-07-05T10:33:30.409485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6d5489e121592d67b8a326fa164cf0faaae35df97f28d693182d4dcd1ff7b63

Aliases

arxiv: 2308.05688 · arxiv_version: 2308.05688v1 · doi: 10.48550/arxiv.2308.05688 · pith_short_12: W3KURHQSCWJN · pith_short_16: W3KURHQSCWJNM64K · pith_short_8: W3KURHQS

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/W3KURHQSCWJNM64KGJX2CZGPB6 \
  | 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: b6d5489e121592d67b8a326fa164cf0faaae35df97f28d693182d4dcd1ff7b63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c42b250cabdad7d8057a472d261e942fa347ead2073b2962cee46023c98cdaf",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-08-10T16:41:52Z",
    "title_canon_sha256": "85d9c13492b92b8c2c9c44d7267fc40d4871cd55245768f148513f28b0d7c7a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.05688",
    "kind": "arxiv",
    "version": 1
  }
}