Pith Number

pith:WBDEMLQV

pith:2025:WBDEMLQVKBDJTYDBZICCAVX7NF

not attested not anchored not stored refs pending

Semisimplifying categorical Heisenberg actions and periodic equivalences

Alexander Sherman, Bregje Pauwels, Chris Hone, Finn Klein, Oded Yacobi, Victor L. Zhang

arxiv:2509.07377 v2 · 2025-09-09 · 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{WBDEMLQVKBDJTYDBZICCAVX7NF}

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	2026-07-05T12:09:24.522693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b046462e15504699e061ca042056ff69457c770e08e63ef742addadd31a6ea34

Aliases

arxiv: 2509.07377 · arxiv_version: 2509.07377v2 · doi: 10.48550/arxiv.2509.07377 · pith_short_12: WBDEMLQVKBDJ · pith_short_16: WBDEMLQVKBDJTYDB · pith_short_8: WBDEMLQV

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/WBDEMLQVKBDJTYDBZICCAVX7NF \
  | 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: b046462e15504699e061ca042056ff69457c770e08e63ef742addadd31a6ea34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ad571173aab300598330c20dc80bef0da154e3c54c3a56ee8a13ccf5c06d04",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-09-09T03:51:46Z",
    "title_canon_sha256": "fc2f1d9e89dda5a79f908d768aa5b91f7f2f0000601ce1800c44dae561f598a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07377",
    "kind": "arxiv",
    "version": 2
  }
}