Pith Number

pith:Y4FLJXEY

pith:2012:Y4FLJXEYP4U3BLXM67R7JNAKG7

not attested not anchored not stored refs pending

Curves, dynamical systems and weighted point counting

Gunther Cornelissen

arxiv:1209.5782 v1 · 2012-09-25 · math.NT · 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{Y4FLJXEYP4U3BLXM67R7JNAKG7}

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	2026-05-18T01:54:18.795208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70ab4dc987f29b0aeecf7e3f4b40a37ce367708322da222018d83f390b8bf3b

Aliases

arxiv: 1209.5782 · arxiv_version: 1209.5782v1 · doi: 10.48550/arxiv.1209.5782 · pith_short_12: Y4FLJXEYP4U3 · pith_short_16: Y4FLJXEYP4U3BLXM · pith_short_8: Y4FLJXEY

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/Y4FLJXEYP4U3BLXM67R7JNAKG7 \
  | 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: c70ab4dc987f29b0aeecf7e3f4b40a37ce367708322da222018d83f390b8bf3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65295dc31ce21de09b4880839389e8df2dadf42cc78824c7b5e9ef50bdf9fe6e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-25T22:16:32Z",
    "title_canon_sha256": "1765a659b669dcfdc7a64ce548220af4536a8c8e1c591651a59c0a103d77b3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5782",
    "kind": "arxiv",
    "version": 1
  }
}