Pith Number

pith:H2Q3D5YF

pith:2025:H2Q3D5YFOLAVO3FQV7B5BRMVDM

not attested not anchored not stored refs pending

Multiple Fractional Cohomological Equations and Quantitative Mixing on Nilmanifolds

Zhenqi Jenny Wang

arxiv:2506.08392 v3 · 2025-06-10 · math.DS · 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{H2Q3D5YFOLAVO3FQV7B5BRMVDM}

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	2026-05-20T00:04:10.666852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ea1b1f70572c1576cb0afc3d0c5951b2685c02759ac4143b0253ce7c729a19d

Aliases

arxiv: 2506.08392 · arxiv_version: 2506.08392v3 · doi: 10.48550/arxiv.2506.08392 · pith_short_12: H2Q3D5YFOLAV · pith_short_16: H2Q3D5YFOLAVO3FQ · pith_short_8: H2Q3D5YF

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/H2Q3D5YFOLAVO3FQV7B5BRMVDM \
  | 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: 3ea1b1f70572c1576cb0afc3d0c5951b2685c02759ac4143b0253ce7c729a19d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c31ccbbd91d6409971187a7ad732997769e2dabcf9b770cb62f5fc70973bc113",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-10T02:58:34Z",
    "title_canon_sha256": "93cb246b968f8cda224ad05da1e70dd9c59516f4b529423f60169c7c0f355378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08392",
    "kind": "arxiv",
    "version": 3
  }
}