Pith Number

pith:AAYPKJ3C

pith:2001:AAYPKJ3CFGLHPTLUQZJE5LL7Y6

not attested not anchored not stored refs pending

Elliptic subfields and automorphisms of genus 2 function fields

Helmut Voelklein, Tony Shaska

arxiv:math/0107142 v1 · 2001-07-19 · 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{AAYPKJ3CFGLHPTLUQZJE5LL7Y6}

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	2026-05-18T03:45:32.329000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0030f52762299677cd7486524ead7fc7ae74e4d1d613813fdfaf6ca9f20137ce

Aliases

arxiv: math/0107142 · arxiv_version: math/0107142v1 · doi: 10.48550/arxiv.math/0107142 · pith_short_12: AAYPKJ3CFGLH · pith_short_16: AAYPKJ3CFGLHPTLU · pith_short_8: AAYPKJ3C

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/AAYPKJ3CFGLHPTLUQZJE5LL7Y6 \
  | 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: 0030f52762299677cd7486524ead7fc7ae74e4d1d613813fdfaf6ca9f20137ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80f22477abf387723fc8933385af91113ec401e46bb3360a2a69a1c7f06728a5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-07-19T23:58:42Z",
    "title_canon_sha256": "9ba6709df42ebef5b222f40467f37c17832d1c992e621085528df2ee9eb5f06c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107142",
    "kind": "arxiv",
    "version": 1
  }
}