Pith Number

pith:LJKWXDWG

pith:2015:LJKWXDWGHFXNC5MNWLM5SMU352

not attested not anchored not stored refs pending

A1-homotopy invariants of topological Fukaya categories of surfaces

Tobias Dyckerhoff

arxiv:1505.06941 v4 · 2015-05-26 · math.CT · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJKWXDWGHFXNC5MNWLM5SMU352}

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	2026-05-17T23:53:13.823755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a556b8ec6396ed1758db2d9d9329bee92ab527089d2b5642d10e90367e37487

Aliases

arxiv: 1505.06941 · arxiv_version: 1505.06941v4 · doi: 10.48550/arxiv.1505.06941 · pith_short_12: LJKWXDWGHFXN · pith_short_16: LJKWXDWGHFXNC5MN · pith_short_8: LJKWXDWG

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/LJKWXDWGHFXNC5MNWLM5SMU352 \
  | 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: 5a556b8ec6396ed1758db2d9d9329bee92ab527089d2b5642d10e90367e37487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cfa06a3b7b7157d4eaffe8fad28938493cc8b0504376add68455096ae8970ed",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-05-26T13:33:54Z",
    "title_canon_sha256": "70f8efd2e27857e937bc29b64ac93acc8cae1c6596ca2279422abd8e3b6bc88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06941",
    "kind": "arxiv",
    "version": 4
  }
}