Pith Number

pith:NWK3D7CO

pith:2026:NWK3D7COQILLVFVWXYKXMXW44X

not attested not anchored not stored refs pending

Restriction problems on the three-dimensional Heisenberg nilmanifold

Hajer Bahouri, Veronique Fischer

arxiv:2605.29781 v1 · 2026-05-28 · math.CA · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWK3D7COQILLVFVWXYKXMXW44X}

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	2026-05-29T02:05:52.015991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d95b1fc4e8216ba96b6be15765edce5ed190a49e9ba9b7056ed9bb24643a2d7

Aliases

arxiv: 2605.29781 · arxiv_version: 2605.29781v1 · doi: 10.48550/arxiv.2605.29781 · pith_short_12: NWK3D7COQILL · pith_short_16: NWK3D7COQILLVFVW · pith_short_8: NWK3D7CO

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/NWK3D7COQILLVFVWXYKXMXW44X \
  | 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: 6d95b1fc4e8216ba96b6be15765edce5ed190a49e9ba9b7056ed9bb24643a2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0cc1364dbaba5a40ec6958872c06f78ef18f0adf6299baf42b943f06f1ccf86",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-28T11:31:02Z",
    "title_canon_sha256": "5d76137bd1392bcc86587644695d553c5db813a309a6049007d0bc5d52bdc218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29781",
    "kind": "arxiv",
    "version": 1
  }
}