Pith Number

pith:2XTXE4GI

pith:2011:2XTXE4GIB3FQXNJUQ7THT3RBIF

not attested not anchored not stored refs pending

A new geometric description for Igusa's modular form $(azy)_5$

Alessio Fiorentino

arxiv:1110.1997 v1 · 2011-10-10 · 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{2XTXE4GIB3FQXNJUQ7THT3RBIF}

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	2026-05-18T00:55:39.723156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e77270c80ecb0bb53487e679ee21416c77555206ec6121f30fd0f07b8eb07c

Aliases

arxiv: 1110.1997 · arxiv_version: 1110.1997v1 · doi: 10.48550/arxiv.1110.1997 · pith_short_12: 2XTXE4GIB3FQ · pith_short_16: 2XTXE4GIB3FQXNJU · pith_short_8: 2XTXE4GI

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/2XTXE4GIB3FQXNJUQ7THT3RBIF \
  | 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: d5e77270c80ecb0bb53487e679ee21416c77555206ec6121f30fd0f07b8eb07c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37841cbc88ad66ad0f4fab095bf42889c48d43d7b6c39eeea80c6b5d7ac6da80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-10T10:48:11Z",
    "title_canon_sha256": "995bac26084c263c327c103e6aad5269a32cc064ed6064ac7342ae20dc4fcf14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1997",
    "kind": "arxiv",
    "version": 1
  }
}