Pith Number

pith:ZFRQP2D4

pith:2015:ZFRQP2D4AR3HTGPRKP4NEZWR57

not attested not anchored not stored refs pending

Koszul duality patterns in Floer theory

Tolga Etg\"u, Yanki Lekili

arxiv:1502.07922 v6 · 2015-02-27 · math.SG · 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{ZFRQP2D4AR3HTGPRKP4NEZWR57}

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	2026-05-18T00:21:00.570361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c96307e87c04767999f153f8d266d1efc3a9c4ac8f84bf72775e3654231ec4a2

Aliases

arxiv: 1502.07922 · arxiv_version: 1502.07922v6 · doi: 10.48550/arxiv.1502.07922 · pith_short_12: ZFRQP2D4AR3H · pith_short_16: ZFRQP2D4AR3HTGPR · pith_short_8: ZFRQP2D4

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/ZFRQP2D4AR3HTGPRKP4NEZWR57 \
  | 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: c96307e87c04767999f153f8d266d1efc3a9c4ac8f84bf72775e3654231ec4a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a822a66de4a1a83f99ae003b3b0e195f0d16c52a16eae1837647af59b2b1cd4c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-02-27T15:08:22Z",
    "title_canon_sha256": "e4c1cfe71404df9061dc5223e4552f9040d04807289f4c03a8d1d599b22bbe96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07922",
    "kind": "arxiv",
    "version": 6
  }
}