Pith Number

pith:YUUALZFG

pith:2004:YUUALZFGS26LBUSXB3AU2LAKQX

not attested not anchored not stored refs pending

Explicit Mumford isomorphism for hyperelliptic curves

Robin de Jong

arxiv:math/0408382 v2 · 2004-08-27 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUUALZFGS26LBUSXB3AU2LAKQX}

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	2026-05-18T03:56:24.749568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c52805e4a696bcb0d2570ec14d2c0a85f548fc65abffda70d2b7f95d4dc2cc11

Aliases

arxiv: math/0408382 · arxiv_version: math/0408382v2 · doi: 10.48550/arxiv.math/0408382 · pith_short_12: YUUALZFGS26L · pith_short_16: YUUALZFGS26LBUSX · pith_short_8: YUUALZFG

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/YUUALZFGS26LBUSXB3AU2LAKQX \
  | 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: c52805e4a696bcb0d2570ec14d2c0a85f548fc65abffda70d2b7f95d4dc2cc11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "654defad8a7844fdef7959622e9319c3c4fff45d0e5c1b57c69b13a28d702717",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2004-08-27T12:59:59Z",
    "title_canon_sha256": "47423ea9c297f214e5e88da1f0a3c2183c66f52711444baa7317370eb96bbb75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0408382",
    "kind": "arxiv",
    "version": 2
  }
}