Pith Number

pith:BWZL7RVO

pith:2026:BWZL7RVOVA2QZJAYBULFXK7XVP

not attested not anchored not stored refs pending

Quantum Steenrod powers and Hamiltonian maps

Egor Shelukhin, Guangbo Xu, Nicholas Wilkins, Shaoyun Bai

arxiv:2607.25960 v1 · 2026-07-28 · math.SG · 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{BWZL7RVOVA2QZJAYBULFXK7XVP}

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	2026-07-29T01:26:13.162092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db2bfc6aea8350ca4180d165babf7abd701ef881664f7f263d2ae4536a3e12d

Aliases

arxiv: 2607.25960 · arxiv_version: 2607.25960v1 · doi: 10.48550/arxiv.2607.25960 · pith_short_12: BWZL7RVOVA2Q · pith_short_16: BWZL7RVOVA2QZJAY · pith_short_8: BWZL7RVO

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/BWZL7RVOVA2QZJAYBULFXK7XVP \
  | 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: 0db2bfc6aea8350ca4180d165babf7abd701ef881664f7f263d2ae4536a3e12d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a182528fe1f153a2d0702c63a57adad8217094094f117089a985cfdcdaa2a7ec",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-07-28T16:44:23Z",
    "title_canon_sha256": "b39e796ff6dee64f345409e74e139e0de05d77421f18560949e70c85ff2735d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25960",
    "kind": "arxiv",
    "version": 1
  }
}