Pith Number

pith:2FYHR6EC

pith:2026:2FYHR6EC3IXSCAAB7YHHHMCUR6

not attested not anchored not stored refs pending

Homotopy Frobenius structures on the cohomology of a manifold

Florian Naef, Thomas Willwacher

arxiv:2606.28466 v1 · 2026-06-26 · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2FYHR6EC3IXSCAAB7YHHHMCUR6}

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	2026-06-30T00:15:15.049593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d17078f882da2f210001fe0e73b0548fa6c73703920a3df0876a46fec27a6be6

Aliases

arxiv: 2606.28466 · arxiv_version: 2606.28466v1 · doi: 10.48550/arxiv.2606.28466 · pith_short_12: 2FYHR6EC3IXS · pith_short_16: 2FYHR6EC3IXSCAAB · pith_short_8: 2FYHR6EC

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/2FYHR6EC3IXSCAAB7YHHHMCUR6 \
  | 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: d17078f882da2f210001fe0e73b0548fa6c73703920a3df0876a46fec27a6be6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6be5abf4895a17e7d192b86c82546c58855a1c0d51e8ad9b95744134343a890",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-26T13:56:51Z",
    "title_canon_sha256": "9a41d965a85f09cf72dea85b4b086bfed36b753237ac8776c31e86be6ac05496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28466",
    "kind": "arxiv",
    "version": 1
  }
}