Pith Number

pith:A3UCAO6H

pith:2012:A3UCAO6HXKIFOEOQBOMKQFRDM2

not attested not anchored not stored refs pending

On the sizes of the Jordan blocks of monodromies at infinity

Kiyoshi Takeuchi, Yutaka Matsui

arxiv:1202.5077 v1 · 2012-02-23 · 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{A3UCAO6HXKIFOEOQBOMKQFRDM2}

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	2026-05-18T04:01:39.037141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e8203bc7ba905711d00b98a8162366971902cbbd78b6ae8785710301a50562

Aliases

arxiv: 1202.5077 · arxiv_version: 1202.5077v1 · doi: 10.48550/arxiv.1202.5077 · pith_short_12: A3UCAO6HXKIF · pith_short_16: A3UCAO6HXKIFOEOQ · pith_short_8: A3UCAO6H

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/A3UCAO6HXKIFOEOQBOMKQFRDM2 \
  | 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: 06e8203bc7ba905711d00b98a8162366971902cbbd78b6ae8785710301a50562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada0161ed42c175999ee463373fbebcf2131b695c1fd1816b6cb60475094d087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-23T02:30:53Z",
    "title_canon_sha256": "1de7510be23a5ea39d9207328a393799ded3202e8223cdf387a6ad5bd42cb96d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5077",
    "kind": "arxiv",
    "version": 1
  }
}