Pith Number

pith:AOK7SJ7Y

pith:2009:AOK7SJ7Y2GJBUBJ76KJABTDFFY

not attested not anchored not stored refs pending

Hitchin-Mochizuki morphism, Opers and Frobenius-destabilized vector bundles over curves

Christian Pauly (JAD), Kirti Joshi

arxiv:0912.3602 v3 · 2009-12-18 · 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{AOK7SJ7Y2GJBUBJ76KJABTDFFY}

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	2026-05-18T02:29:23.857722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0395f927f8d1921a053ff29200cc652e23872f0791bfcc1db06db2e202c2e34d

Aliases

arxiv: 0912.3602 · arxiv_version: 0912.3602v3 · doi: 10.48550/arxiv.0912.3602 · pith_short_12: AOK7SJ7Y2GJB · pith_short_16: AOK7SJ7Y2GJBUBJ7 · pith_short_8: AOK7SJ7Y

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/AOK7SJ7Y2GJBUBJ76KJABTDFFY \
  | 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: 0395f927f8d1921a053ff29200cc652e23872f0791bfcc1db06db2e202c2e34d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e4baab247c344e702bdd790f752cddd7371dc07a2502af8beb6225360073f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-18T08:05:11Z",
    "title_canon_sha256": "76ea35b10bae99a2ce811b8de6226b52790cf082381667d43bfcc0496cec83be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3602",
    "kind": "arxiv",
    "version": 3
  }
}