Pith Number

pith:5ET7WMCP

pith:2003:5ET7WMCPAEHD5CJYUN4JV3NZ34

not attested not anchored not stored refs pending

Singular Z_N curves, Riemann-Hilbert problem and modular solutions of the Schlesinger equation

T. Grava, V. Enolskii

arxiv:math-ph/0306050 v2 · 2003-06-20 · math-ph · math.AG · 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{5ET7WMCPAEHD5CJYUN4JV3NZ34}

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	2026-05-18T01:30:56.173037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e927fb304f010e3e8938a3789aedb9df3d91998d736fef04a2df784a61629bbd

Aliases

arxiv: math-ph/0306050 · arxiv_version: math-ph/0306050v2 · doi: 10.48550/arxiv.math-ph/0306050 · pith_short_12: 5ET7WMCPAEHD · pith_short_16: 5ET7WMCPAEHD5CJY · pith_short_8: 5ET7WMCP

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/5ET7WMCPAEHD5CJYUN4JV3NZ34 \
  | 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: e927fb304f010e3e8938a3789aedb9df3d91998d736fef04a2df784a61629bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "750cf6d9bad98f986447b25be725a4e5277f7a141ea22b70f29c710cca263e28",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-06-20T12:47:14Z",
    "title_canon_sha256": "2ae4674ba45a9b292070cf8c7e95a08796838117f307d280d462cd4aee47eb68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0306050",
    "kind": "arxiv",
    "version": 2
  }
}