Pith Number

pith:4LA64C2E

pith:2010:4LA64C2EL7BFYK75D6G7ERHZZK

not attested not anchored not stored refs pending

Irreducibility criterion for algebroid curves

Takafumi Shibuta

arxiv:1009.2420 v3 · 2010-09-13 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4LA64C2EL7BFYK75D6G7ERHZZK}

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	2026-05-18T04:28:45.480078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2c1ee0b445fc25c2bfd1f8df244f9caa8fa5d521a6222fe0945caf907d7e615

Aliases

arxiv: 1009.2420 · arxiv_version: 1009.2420v3 · doi: 10.48550/arxiv.1009.2420 · pith_short_12: 4LA64C2EL7BF · pith_short_16: 4LA64C2EL7BFYK75 · pith_short_8: 4LA64C2E

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/4LA64C2EL7BFYK75D6G7ERHZZK \
  | 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: e2c1ee0b445fc25c2bfd1f8df244f9caa8fa5d521a6222fe0945caf907d7e615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e295b8b78107a0e31ec57edd39c55b0516b02003198b12393a32787a8cb14f2b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-09-13T15:28:23Z",
    "title_canon_sha256": "82b3deb3ce0a7de6622764581458457b5158105e9bf6fa6f5b12fbdd426e14ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2420",
    "kind": "arxiv",
    "version": 3
  }
}