Pith Number

pith:HVK2FM7U

pith:2018:HVK2FM7U5PVDJEAIIV6D2PUMUD

not attested not anchored not stored refs pending

Quadratic Irrationals, Closed Geodesics on the Modular Surface and Dynamical Zeta Functions

Peter Hazard

arxiv:1805.01429 v1 · 2018-05-03 · math.NT · math.CO · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVK2FM7U5PVDJEAIIV6D2PUMUD}

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	2026-05-18T00:16:51.455054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d55a2b3f4ebea349008457c3d3e8ca0c58fdebbb03ef44945809132f1a989d8

Aliases

arxiv: 1805.01429 · arxiv_version: 1805.01429v1 · doi: 10.48550/arxiv.1805.01429 · pith_short_12: HVK2FM7U5PVD · pith_short_16: HVK2FM7U5PVDJEAI · pith_short_8: HVK2FM7U

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/HVK2FM7U5PVDJEAIIV6D2PUMUD \
  | 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: 3d55a2b3f4ebea349008457c3d3e8ca0c58fdebbb03ef44945809132f1a989d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "629ec6301adf3778b3477b54b5e5ea4c86fb9bf26699870b685fc36730046669",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-03T17:05:40Z",
    "title_canon_sha256": "b9cc407a6de16d22c31e1fc5829df664c2d33923247607c6c0881419e8537d3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01429",
    "kind": "arxiv",
    "version": 1
  }
}