Pith Number

pith:MI4TGY7H

pith:2006:MI4TGY7HLJGR3UZV4HVKRPTBTV

not attested not anchored not stored refs pending

The Abelian/Nonabelian Correspondence and Frobenius Manifolds

Bumsig Kim, Claude Sabbah, Ionut Ciocan-Fontanine

arxiv:math/0610265 v1 · 2006-10-09 · 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{MI4TGY7HLJGR3UZV4HVKRPTBTV}

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	2026-05-18T04:32:09.882426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62393363e75a4d1dd335e1eaa8be619d69c00942fc318ff398e8c68e4a8f9d0e

Aliases

arxiv: math/0610265 · arxiv_version: math/0610265v1 · doi: 10.48550/arxiv.math/0610265 · pith_short_12: MI4TGY7HLJGR · pith_short_16: MI4TGY7HLJGR3UZV · pith_short_8: MI4TGY7H

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/MI4TGY7HLJGR3UZV4HVKRPTBTV \
  | 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: 62393363e75a4d1dd335e1eaa8be619d69c00942fc318ff398e8c68e4a8f9d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2ad272c3af13933ed1872482fd3739667309c5d0b2b415d9e293ff162a0337",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-10-09T17:10:41Z",
    "title_canon_sha256": "dfd75d7a278543a202ea3b99e5be7a47bad19e9ab09c174a8375837194e32046"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610265",
    "kind": "arxiv",
    "version": 1
  }
}