Pith Number

pith:6ILECILB

pith:2013:6ILECILBK7IZS4JMXIGKU7HASQ

not attested not anchored not stored refs pending

Moriwaki divisors and the augmented base loci of divisors on the moduli space of curves

Angelo Felice Lopez, Filippo Viviani, Salvatore Cacciola

arxiv:1305.1265 v3 · 2013-05-06 · 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{6ILECILBK7IZS4JMXIGKU7HASQ}

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	2026-05-18T01:05:46.725512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21641216157d199712cba0caa7ce094392bdbeabcf60024d3392b6af68aa70b

Aliases

arxiv: 1305.1265 · arxiv_version: 1305.1265v3 · doi: 10.48550/arxiv.1305.1265 · pith_short_12: 6ILECILBK7IZ · pith_short_16: 6ILECILBK7IZS4JM · pith_short_8: 6ILECILB

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/6ILECILBK7IZS4JMXIGKU7HASQ \
  | 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: f21641216157d199712cba0caa7ce094392bdbeabcf60024d3392b6af68aa70b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48409fbf306b5b04758935d2d72ce818be09e190d03532baa6f908b4eaf3481b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-06T18:06:26Z",
    "title_canon_sha256": "99651f3d60b72249e2507c649ab77a1481ade61daf5540887bf447f6058bdc6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1265",
    "kind": "arxiv",
    "version": 3
  }
}