Pith Number

pith:55UBELPD

pith:2025:55UBELPDC4NJKJ2REQOE4YLSY4

not attested not anchored not stored refs pending

Counting statistics for geodesics on flat surfaces

Mark Pollicott, Stephen Cantrell

arxiv:2503.13091 v1 · 2025-03-17 · math.DS · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55UBELPDC4NJKJ2REQOE4YLSY4}

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	2026-07-05T10:32:52.922841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef68122de3171a952751241c4e6172c71a9bc2cb82090d30dddf88858f030838

Aliases

arxiv: 2503.13091 · arxiv_version: 2503.13091v1 · doi: 10.48550/arxiv.2503.13091 · pith_short_12: 55UBELPDC4NJ · pith_short_16: 55UBELPDC4NJKJ2R · pith_short_8: 55UBELPD

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/55UBELPDC4NJKJ2REQOE4YLSY4 \
  | 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: ef68122de3171a952751241c4e6172c71a9bc2cb82090d30dddf88858f030838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09e2a8510e8965a8c30089cb1e4e0535edc4044351ce3d4a66cb802fae4ef558",
    "cross_cats_sorted": [
      "math.GT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-03-17T11:58:10Z",
    "title_canon_sha256": "a19b3b3779e11ac5e15873559ffb65b6cc85b6342b18a0648562f5a5414cb2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.13091",
    "kind": "arxiv",
    "version": 1
  }
}