Pith Number

pith:KLIV5ABZ

pith:2025:KLIV5ABZF3UZS66IRD2WLOE4TD

not attested not anchored not stored refs pending

Explicitly Computing with Fukaya Categories of Surfaces with Boundary

Chris Grossack

arxiv:2510.10867 v2 · 2025-10-13 · math.SG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLIV5ABZF3UZS66IRD2WLOE4TD}

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	2026-06-02T02:04:09.854603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d15e80392ee9997bc888f565b89c98ca68940dc248d3eaef8ab1b595a80a73

Aliases

arxiv: 2510.10867 · arxiv_version: 2510.10867v2 · doi: 10.48550/arxiv.2510.10867 · pith_short_12: KLIV5ABZF3UZ · pith_short_16: KLIV5ABZF3UZS66I · pith_short_8: KLIV5ABZ

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/KLIV5ABZF3UZS66IRD2WLOE4TD \
  | 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: 52d15e80392ee9997bc888f565b89c98ca68940dc248d3eaef8ab1b595a80a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3539f3d4a17819c4eb3b7774d9d69ed0d6580663400b7c11ff1d7d062c72ef0f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-10-13T00:18:54Z",
    "title_canon_sha256": "84938c791d08c9e553561b6a6ab51fb0dd4c3f9010dbec83af9d748c879c0485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.10867",
    "kind": "arxiv",
    "version": 2
  }
}