Pith Number

pith:WF2APTUW

pith:2026:WF2APTUWM2FQ4SUC2MH5MYC3AO

not attested not anchored not stored refs pending

Beyond descendants: integrable observables for cohomological field theories

Danilo Lewa\'nski, Sergey Shadrin, Xavier Blot

arxiv:2605.22236 v1 · 2026-05-21 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WF2APTUWM2FQ4SUC2MH5MYC3AO}

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	2026-05-22T01:04:33.666658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b17407ce96668b0e4a82d30fd6605b03b5cb16eddd2ceff5efa9b4353bc648f1

Aliases

arxiv: 2605.22236 · arxiv_version: 2605.22236v1 · doi: 10.48550/arxiv.2605.22236 · pith_short_12: WF2APTUWM2FQ · pith_short_16: WF2APTUWM2FQ4SUC · pith_short_8: WF2APTUW

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/WF2APTUWM2FQ4SUC2MH5MYC3AO \
  | 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: b17407ce96668b0e4a82d30fd6605b03b5cb16eddd2ceff5efa9b4353bc648f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05e68c16cc3c1079c3f11a5fccc25a97285db09174e56835f6fa89023c19d108",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-21T09:36:44Z",
    "title_canon_sha256": "6c155ad56f21afb9988b7e21bc76e9c9df2e095a830010f1430ca11003162b4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22236",
    "kind": "arxiv",
    "version": 1
  }
}