Pith Number

pith:S4RKUXPJ

pith:2008:S4RKUXPJWPFWWOT6X5VLMGR744

not attested not anchored not stored refs pending

Wild Harmonic Bundles and Wild Pure Twistor D-modules

Takuro Mochizuki

arxiv:0803.1344 v4 · 2008-03-10 · math.DG · 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{S4RKUXPJWPFWWOT6X5VLMGR744}

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.

Cited by

1 paper in Pith

Holonomy Asymptotics along Quartic Differential Rays

Receipt and verification

First computed	2026-07-04T17:31:16.709412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9722aa5de9b3cb6b3a7ebf6ab61a3fe72fe438a388033fffc689f2793620cda6

Aliases

arxiv: 0803.1344 · arxiv_version: 0803.1344v4 · doi: 10.48550/arxiv.0803.1344 · pith_short_12: S4RKUXPJWPFW · pith_short_16: S4RKUXPJWPFWWOT6 · pith_short_8: S4RKUXPJ

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/S4RKUXPJWPFWWOT6X5VLMGR744 \
  | 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: 9722aa5de9b3cb6b3a7ebf6ab61a3fe72fe438a388033fffc689f2793620cda6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93b0e60eef324f450c1a960c4822e548d469ea23d9af358a502f890d94209d1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-03-10T07:50:35Z",
    "title_canon_sha256": "9e3cede11b31f1cdbd1c5181f5be23e3e341eae961a15ba350de3253a9d84c4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1344",
    "kind": "arxiv",
    "version": 4
  }
}