Pith Number

pith:K2JBXKH2

pith:2006:K2JBXKH2DADSTHD6MXNTYS3TSN

not attested not anchored not stored refs pending

Thomae type formulae for singular Z_N curves

Tamara Grava, Victor Enolskii

arxiv:math-ph/0602017 v1 · 2006-02-07 · math-ph · math.AC · 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{K2JBXKH2DADSTHD6MXNTYS3TSN}

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	2026-05-18T01:30:15.980613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56921ba8fa1807299c7e65db3c4b739345449d6f84f02b6ffd1265df7716e834

Aliases

arxiv: math-ph/0602017 · arxiv_version: math-ph/0602017v1 · doi: 10.48550/arxiv.math-ph/0602017 · pith_short_12: K2JBXKH2DADS · pith_short_16: K2JBXKH2DADSTHD6 · pith_short_8: K2JBXKH2

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/K2JBXKH2DADSTHD6MXNTYS3TSN \
  | 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: 56921ba8fa1807299c7e65db3c4b739345449d6f84f02b6ffd1265df7716e834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab6ed21bfcf0faca348162819ca1a642f8272769d446dc2832c8ccae8099e24",
    "cross_cats_sorted": [
      "math.AC",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-02-07T15:39:27Z",
    "title_canon_sha256": "0367caf5b1f61e0b495c60eb49d2201010b77f79eb054cbf3049dced4d477823"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0602017",
    "kind": "arxiv",
    "version": 1
  }
}