Pith Number

pith:FVYQX4DI

pith:2012:FVYQX4DILYYGQYM2R3AUVKJTKY

not attested not anchored not stored refs pending

Quadratic irrationals and linking numbers of modular knots

Dubi Kelmer

arxiv:1205.2230 v1 · 2012-05-10 · math.NT · 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{FVYQX4DILYYGQYM2R3AUVKJTKY}

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	2026-05-18T03:55:56.755006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d710bf0685e3068619a8ec14aa93356134b1364d1b8a4d1182e8827a92d86cb

Aliases

arxiv: 1205.2230 · arxiv_version: 1205.2230v1 · doi: 10.48550/arxiv.1205.2230 · pith_short_12: FVYQX4DILYYG · pith_short_16: FVYQX4DILYYGQYM2 · pith_short_8: FVYQX4DI

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/FVYQX4DILYYGQYM2R3AUVKJTKY \
  | 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: 2d710bf0685e3068619a8ec14aa93356134b1364d1b8a4d1182e8827a92d86cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f738cbfb5acd987b08f7f3e8d75104b7a6ab8054a275234f8738ff9d19bed64",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-10T10:53:38Z",
    "title_canon_sha256": "b3f0a4e39cbd54bcf5df4a41b3e22a6ef2b52b405f86ce1444058caedc576c30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2230",
    "kind": "arxiv",
    "version": 1
  }
}