Pith Number

pith:YAO6S7SI

pith:2016:YAO6S7SIX6NOJMIEKKTQSWNNYN

not attested not anchored not stored refs pending

Associative Yang-Baxter equation and Fukaya categories of square-tiled surfaces

Alexander Polishchuk, Yanki Lekili

arxiv:1608.08992 v2 · 2016-08-31 · math.SG · math.AG · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YAO6S7SIX6NOJMIEKKTQSWNNYN}

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	2026-05-18T00:06:56.705391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01de97e48bf9ae4b10452a70959adc34a0f746eb15118b81fe66ac1e036fec4

Aliases

arxiv: 1608.08992 · arxiv_version: 1608.08992v2 · doi: 10.48550/arxiv.1608.08992 · pith_short_12: YAO6S7SIX6NO · pith_short_16: YAO6S7SIX6NOJMIE · pith_short_8: YAO6S7SI

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/YAO6S7SIX6NOJMIEKKTQSWNNYN \
  | 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: c01de97e48bf9ae4b10452a70959adc34a0f746eb15118b81fe66ac1e036fec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a8e138ff16f5a0bf331538162a098544e888a294e9527eab3afa9bc9deec6b",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-08-31T18:49:05Z",
    "title_canon_sha256": "e61b89503d3f0239096f3f1dd6d4a0f6b221bcf888c9819c8a6b098bd8cb90cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08992",
    "kind": "arxiv",
    "version": 2
  }
}