Pith Number

pith:KJXIIKAK

pith:2013:KJXIIKAKS43CSUEFC22N5WUVUL

not attested not anchored not stored refs pending

Double and Triple Givental's J-functions for Stable Quotients Invariants

Aleksey Zinger

arxiv:1305.2142 v1 · 2013-05-09 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJXIIKAKS43CSUEFC22N5WUVUL}

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	2026-05-18T01:22:25.391939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

526e84280a973629508516b4deda95a2cb28a4874a2016f6c73842bd83a8a59a

Aliases

arxiv: 1305.2142 · arxiv_version: 1305.2142v1 · doi: 10.48550/arxiv.1305.2142 · pith_short_12: KJXIIKAKS43C · pith_short_16: KJXIIKAKS43CSUEF · pith_short_8: KJXIIKAK

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/KJXIIKAKS43CSUEFC22N5WUVUL \
  | 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: 526e84280a973629508516b4deda95a2cb28a4874a2016f6c73842bd83a8a59a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a73b0129aaf1994a63c806f3abe5eff9e9efc11b37c320668d22c66a1d3fceff",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-09T16:44:33Z",
    "title_canon_sha256": "510b7a610f057b84e4b3d3bcfb85f0c421da5e15075f5596978879264f4441a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2142",
    "kind": "arxiv",
    "version": 1
  }
}