Pith Number

pith:TYQPTCUM

pith:2001:TYQPTCUMPU3WZEGFSG6IMVBTCR

not attested not anchored not stored refs pending

Periods of Strebel Differentials and Algebraic Curves Defined over the Field of Algebraic Numbers

Michael Penkava, Motohico Mulase

arxiv:math/0107119 v1 · 2001-07-16 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYQPTCUMPU3WZEGFSG6IMVBTCR}

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	2026-05-18T04:39:51.559949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e20f98a8c7d376c90c591bc8654331440fc2fb90cf81065ca476b1fc1cc2487

Aliases

arxiv: math/0107119 · arxiv_version: math/0107119v1 · doi: 10.48550/arxiv.math/0107119 · pith_short_12: TYQPTCUMPU3W · pith_short_16: TYQPTCUMPU3WZEGF · pith_short_8: TYQPTCUM

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/TYQPTCUMPU3WZEGFSG6IMVBTCR \
  | 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: 9e20f98a8c7d376c90c591bc8654331440fc2fb90cf81065ca476b1fc1cc2487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4233ed590ef837d67618665a199a9b6323605b395bcba14be70c112867761ca",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-07-16T23:32:41Z",
    "title_canon_sha256": "774fdf8736e4ff748fee791065f40bce93af0738e0c556ca223bf0c48639ef48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107119",
    "kind": "arxiv",
    "version": 1
  }
}