Pith Number

pith:DX4SW5NQ

pith:2015:DX4SW5NQ4VEQBRGZ53T452VT2K

not attested not anchored not stored refs pending

Counting curves on surfaces

Daniel V. Mathews, Musashi A. Koyama, Norman Do

arxiv:1512.08853 v2 · 2015-12-30 · math.GT · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DX4SW5NQ4VEQBRGZ53T452VT2K}

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	2026-05-18T01:21:41.603073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1df92b75b0e54900c4d9eee7ceeab3d2a7af9610609e1ed2c6bc05cc0b6b3069

Aliases

arxiv: 1512.08853 · arxiv_version: 1512.08853v2 · doi: 10.48550/arxiv.1512.08853 · pith_short_12: DX4SW5NQ4VEQ · pith_short_16: DX4SW5NQ4VEQBRGZ · pith_short_8: DX4SW5NQ

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/DX4SW5NQ4VEQBRGZ53T452VT2K \
  | 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: 1df92b75b0e54900c4d9eee7ceeab3d2a7af9610609e1ed2c6bc05cc0b6b3069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aac645e152c8430b877e473a9f855d2a79e23b1e3744bf14cb2ebcde2f850652",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-30T05:25:11Z",
    "title_canon_sha256": "20ba79b5ba71c5be9b7d54271dc497b7c7457615edca91442600c8aa80f9a045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08853",
    "kind": "arxiv",
    "version": 2
  }
}