Pith Number

pith:H5VMV5RA

pith:2008:H5VMV5RAKTW37WNYCHPEZTWW6C

not attested not anchored not stored refs pending

On the total order of reducibility of a pencil of algebraic plane curves

Guillaume Ch\`eze (IMT), Laurent Bus\'e (INRIA Sophia Antipolis)

arxiv:0812.4706 v2 · 2008-12-26 · math.AC · cs.SC · 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{H5VMV5RAKTW37WNYCHPEZTWW6C}

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	2026-05-18T04:15:19.066394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f6acaf62054edbfd9b811de4cced6f08bb85d509313e93d97103533b1b02dba

Aliases

arxiv: 0812.4706 · arxiv_version: 0812.4706v2 · doi: 10.48550/arxiv.0812.4706 · pith_short_12: H5VMV5RAKTW3 · pith_short_16: H5VMV5RAKTW37WNY · pith_short_8: H5VMV5RA

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/H5VMV5RAKTW37WNYCHPEZTWW6C \
  | 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: 3f6acaf62054edbfd9b811de4cced6f08bb85d509313e93d97103533b1b02dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5557266e6a0d3d19fa9cfc819800f77f841f8e64b4f3f5e4a8defcfd840be8f0",
    "cross_cats_sorted": [
      "cs.SC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-12-26T20:56:46Z",
    "title_canon_sha256": "e43f40835422349f85c222d90129651f5818f19742266bee01776b28039691a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4706",
    "kind": "arxiv",
    "version": 2
  }
}