Pith Number

pith:VVO4YITO

pith:2010:VVO4YITOF3TJB4RIHZMLUJN2IZ

not attested not anchored not stored refs pending

Classifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits

Chikara Nakayama, Kazuya Kato, Sampei Usui

arxiv:1011.4347 v1 · 2010-11-19 · 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{VVO4YITOF3TJB4RIHZMLUJN2IZ}

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	2026-05-18T02:29:30.238735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad5dcc226e2ee690f2283e58ba25ba46588b2348e7c29b86c7e2f5d489b424dd

Aliases

arxiv: 1011.4347 · arxiv_version: 1011.4347v1 · doi: 10.48550/arxiv.1011.4347 · pith_short_12: VVO4YITOF3TJ · pith_short_16: VVO4YITOF3TJB4RI · pith_short_8: VVO4YITO

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/VVO4YITOF3TJB4RIHZMLUJN2IZ \
  | 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: ad5dcc226e2ee690f2283e58ba25ba46588b2348e7c29b86c7e2f5d489b424dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55e0bd7da43eb60b4bd5450d2ee9d8f45a2ee90f655e70084c9094e5174e0c56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-19T06:10:01Z",
    "title_canon_sha256": "1aaae371301db372af8b971763a1da6ed5a2202598170a4c2aeffeffb57ae862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4347",
    "kind": "arxiv",
    "version": 1
  }
}