Pith Number

pith:HIG7YKQ7

pith:2012:HIG7YKQ72B73IDJZ3N4D35P3JS

not attested not anchored not stored refs pending

An arithmetic intersection formula for denominators of Igusa class polynomials

Bianca Viray, Kristin Lauter

arxiv:1210.7841 v2 · 2012-10-29 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIG7YKQ72B73IDJZ3N4D35P3JS}

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	2026-05-18T01:36:21.199122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0dfc2a1fd07fb40d39db783df5fb4ca796a5fc2bfb4bb63279067620eb5e8b

Aliases

arxiv: 1210.7841 · arxiv_version: 1210.7841v2 · doi: 10.48550/arxiv.1210.7841 · pith_short_12: HIG7YKQ72B73 · pith_short_16: HIG7YKQ72B73IDJZ · pith_short_8: HIG7YKQ7

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/HIG7YKQ72B73IDJZ3N4D35P3JS \
  | 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: 3a0dfc2a1fd07fb40d39db783df5fb4ca796a5fc2bfb4bb63279067620eb5e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6b1bd0232c78a32abb31fc076cf36df7a7d12040e8c5fef28a4303e05802e0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-29T21:09:06Z",
    "title_canon_sha256": "1fac04eb46ba74c7897147117bfaf78a6718f9c1568f97905315426f127fb190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7841",
    "kind": "arxiv",
    "version": 2
  }
}