Pith Number

pith:63P2Y6KZ

pith:2018:63P2Y6KZAZE7KK6FVWLPRVNAU4

not attested not anchored not stored refs pending

New examples of reducible theta divisors for some Syzygy bundles

Abel Castorena, H. Torres-L\'opez

arxiv:1809.01333 v2 · 2018-09-05 · 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{63P2Y6KZAZE7KK6FVWLPRVNAU4}

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	2026-05-18T00:05:36.834553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6dfac79590649f52bc5ad96f8d5a0a71474d4203d479a68d06187320b3e8123

Aliases

arxiv: 1809.01333 · arxiv_version: 1809.01333v2 · doi: 10.48550/arxiv.1809.01333 · pith_short_12: 63P2Y6KZAZE7 · pith_short_16: 63P2Y6KZAZE7KK6F · pith_short_8: 63P2Y6KZ

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/63P2Y6KZAZE7KK6FVWLPRVNAU4 \
  | 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: f6dfac79590649f52bc5ad96f8d5a0a71474d4203d479a68d06187320b3e8123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51be250ad2db85e50c4a4902040749e5549f5471cbcc70cdc20d399e926e5124",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-05T05:38:00Z",
    "title_canon_sha256": "be8a219aac77571345c751847255e3766b68eb8ded4c6fc177633049d254e5cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01333",
    "kind": "arxiv",
    "version": 2
  }
}