Pith Number

pith:QPI6QBWT

pith:2026:QPI6QBWTV2IHDGLVGENQ6NNSH6

not attested not anchored not stored refs pending

Instanton construction of the mapping cone Thom-Smale complex

Hao Zhuang

arxiv:2603.08404 v2 · 2026-03-09 · math.DG · math-ph · math.DS · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPI6QBWTV2IHDGLVGENQ6NNSH6}

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	2026-06-01T02:03:36.680528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d1e806d3ae90719975311b0f35b23fa9c39a014264d5480b1ab01e1aeceb89

Aliases

arxiv: 2603.08404 · arxiv_version: 2603.08404v2 · doi: 10.48550/arxiv.2603.08404 · pith_short_12: QPI6QBWTV2IH · pith_short_16: QPI6QBWTV2IHDGLV · pith_short_8: QPI6QBWT

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/QPI6QBWTV2IHDGLVGENQ6NNSH6 \
  | 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: 83d1e806d3ae90719975311b0f35b23fa9c39a014264d5480b1ab01e1aeceb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bd6e09ee228cfb5b312ca8b28f0ffdd87474190d9e3bc85565c2263f41ba8b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-03-09T14:01:00Z",
    "title_canon_sha256": "2572e13b7258a975c997abf66cfebfa4df2811970c189379a75a0bbb1e34d052"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08404",
    "kind": "arxiv",
    "version": 2
  }
}