Pith Number

pith:QH4W4SZR

pith:2026:QH4W4SZRKV33RGFRMJDVGHC3GA

not attested not anchored not stored refs pending

Multiple mixing and multiple fractional cohomological equation: semisimple setting

Zhenqi Jenny Wang

arxiv:2605.21173 v1 · 2026-05-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QH4W4SZRKV33RGFRMJDVGHC3GA}

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	2026-05-21T01:05:41.054011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81f96e4b315577b898b16247531c5b3020e1d4132ce2d11230ec46907a42f8f6

Aliases

arxiv: 2605.21173 · arxiv_version: 2605.21173v1 · doi: 10.48550/arxiv.2605.21173 · pith_short_12: QH4W4SZRKV33 · pith_short_16: QH4W4SZRKV33RGFR · pith_short_8: QH4W4SZR

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/QH4W4SZRKV33RGFRMJDVGHC3GA \
  | 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: 81f96e4b315577b898b16247531c5b3020e1d4132ce2d11230ec46907a42f8f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7fcdfca7410a227d1fa21dee5ed1a12e53d1bd3453cf1cba90d6eb24723b25",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-20T13:43:10Z",
    "title_canon_sha256": "c3039c81864ceaba6461d18c16eaa10e9c58f272e100a45bc57eb51de053a74f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21173",
    "kind": "arxiv",
    "version": 1
  }
}