Pith Number

pith:V5K5NRPA

pith:2026:V5K5NRPAMVDOBUYKNVO44Y3YXV

not attested not anchored not stored refs pending

Underlying Stokes and de Rham structures for Arnold-type invariants

Hiroki Mizuno, Noboru Ito

arxiv:2605.12834 v1 · 2026-05-13 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V5K5NRPAMVDOBUYKNVO44Y3YXV}

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	2026-05-18T03:09:12.055033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af55d6c5e06546e0d30a6d5dce6378bd54d173ae5bbd0a7a357d694f03116d66

Aliases

arxiv: 2605.12834 · arxiv_version: 2605.12834v1 · doi: 10.48550/arxiv.2605.12834 · pith_short_12: V5K5NRPAMVDO · pith_short_16: V5K5NRPAMVDOBUYK · pith_short_8: V5K5NRPA

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/V5K5NRPAMVDOBUYKNVO44Y3YXV \
  | 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: af55d6c5e06546e0d30a6d5dce6378bd54d173ae5bbd0a7a357d694f03116d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "349c1b38caaeba84ee134ad3aac10cac106c11364d1d453a8cf706a5fa114315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-13T00:04:50Z",
    "title_canon_sha256": "ec5c3ce6ed1ca13a65df209f2e610a6c495bb9f28255c24666b10faa8444ac32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12834",
    "kind": "arxiv",
    "version": 1
  }
}