Pith Number

pith:KI3U63B2

pith:2012:KI3U63B2SS7FIKYIOCPVPHVISW

not attested not anchored not stored refs pending

Singularities of theta divisors in algebraic geometry

Sebastian Casalaina-Martin

arxiv:1207.1042 v1 · 2012-07-04 · 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{KI3U63B2SS7FIKYIOCPVPHVISW}

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	2026-05-18T03:51:47.671470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52374f6c3a94be542b08709f579ea895838d68015a990efe4602a83439102752

Aliases

arxiv: 1207.1042 · arxiv_version: 1207.1042v1 · doi: 10.48550/arxiv.1207.1042 · pith_short_12: KI3U63B2SS7F · pith_short_16: KI3U63B2SS7FIKYI · pith_short_8: KI3U63B2

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/KI3U63B2SS7FIKYIOCPVPHVISW \
  | 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: 52374f6c3a94be542b08709f579ea895838d68015a990efe4602a83439102752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09954f5cb96abab6be8aaa0f9117a029bb7acc960d508fdc86bce15f2db4f3e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-04T15:49:49Z",
    "title_canon_sha256": "2f4bec679b931b8e6ad367fafce96bde9047e1ee7f264beffc30fd5628f77088"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1042",
    "kind": "arxiv",
    "version": 1
  }
}