Pith Number

pith:KP4ACGZX

pith:2009:KP4ACGZXQGIGRV4TO6KZD6OEA4

not attested not anchored not stored refs pending

Explicit computations of Serre's obstruction for genus 3 curves and application to optimal curves

Christophe Ritzenthaler

arxiv:0901.2920 v2 · 2009-01-19 · 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{KP4ACGZXQGIGRV4TO6KZD6OEA4}

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	2026-05-17T23:53:20.058610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53f8011b37819068d793779591f9c4070d544e6ec71c40d71e1a52d6fc268f90

Aliases

arxiv: 0901.2920 · arxiv_version: 0901.2920v2 · doi: 10.48550/arxiv.0901.2920 · pith_short_12: KP4ACGZXQGIG · pith_short_16: KP4ACGZXQGIGRV4T · pith_short_8: KP4ACGZX

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/KP4ACGZXQGIGRV4TO6KZD6OEA4 \
  | 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: 53f8011b37819068d793779591f9c4070d544e6ec71c40d71e1a52d6fc268f90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82d77dac9bb53709b069394fe0bc516f85e3d5da260cfeb87b8e71751e111202",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-01-19T19:13:09Z",
    "title_canon_sha256": "4ae43d464ff18a7065a0cae359be6289a4947c73c1918bff648f5835218199d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2920",
    "kind": "arxiv",
    "version": 2
  }
}