Pith Number

pith:QFZOJY7C

pith:2004:QFZOJY7C3PEOETCVI2CLSBBKDE

not attested not anchored not stored refs pending

Singularities of the Prym theta divisor

Sebastian Casalaina-Martin

arxiv:math/0405195 v2 · 2004-05-11 · 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{QFZOJY7C3PEOETCVI2CLSBBKDE}

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	2026-05-18T02:24:58.096622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8172e4e3e2dbc8e24c554684b9042a192eb7f8d552219ac604e4a17311b731df

Aliases

arxiv: math/0405195 · arxiv_version: math/0405195v2 · doi: 10.48550/arxiv.math/0405195 · pith_short_12: QFZOJY7C3PEO · pith_short_16: QFZOJY7C3PEOETCV · pith_short_8: QFZOJY7C

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/QFZOJY7C3PEOETCVI2CLSBBKDE \
  | 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: 8172e4e3e2dbc8e24c554684b9042a192eb7f8d552219ac604e4a17311b731df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba357a454ab69aa0fd7ae54a186bd98446ca3ea1f30aaa4878bcef1324117dc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2004-05-11T16:37:59Z",
    "title_canon_sha256": "f458fd07aa5c35c351e10253d5514b275a6288c6d5ef0a760acdbb6d47b8466e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405195",
    "kind": "arxiv",
    "version": 2
  }
}