Pith Number

pith:JWUWAYAD

pith:2026:JWUWAYADDAGHEJNZNINLM5WDZS

not attested not anchored not stored refs pending

Naturality in real Heegaard Floer theory

Ciprian Manolescu, Gary Guth

arxiv:2608.00256 v1 · 2026-07-31 · 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{JWUWAYADDAGHEJNZNINLM5WDZS}

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	2026-08-04T00:34:29.118520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4da9606003180c7225b96a1ab676c3cc867ccfe2f67a0d286ccc4bd01c50d5e9

Aliases

arxiv: 2608.00256 · arxiv_version: 2608.00256v1 · doi: 10.48550/arxiv.2608.00256 · pith_short_12: JWUWAYADDAGH · pith_short_16: JWUWAYADDAGHEJNZ · pith_short_8: JWUWAYAD

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/JWUWAYADDAGHEJNZNINLM5WDZS \
  | 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: 4da9606003180c7225b96a1ab676c3cc867ccfe2f67a0d286ccc4bd01c50d5e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1321391f6e1cf8dccd244a6b417681da5db59df19b4470a66e5409b089a36c38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-31T19:53:16Z",
    "title_canon_sha256": "3cc1aabe207045e8d5950664f79d40ceb6b834ffa9bb81cc24d16fd908841fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.00256",
    "kind": "arxiv",
    "version": 1
  }
}