Pith Number

pith:XJ22OK63

pith:2013:XJ22OK6337RVUAADO43S2B6465

not attested not anchored not stored refs pending

A Note On Heisenberg Categorification

Jie Yang, Ke Wu, Na Wang, Zhixi Wang, Zifeng Yang

arxiv:1307.4073 v1 · 2013-07-15 · math-ph · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ22OK6337RVUAADO43S2B6465}

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	2026-05-18T03:18:27.088049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba75a72bdbdfe35a000377372d07dcf74812fdbb9377f2d36a3b6878eb128990

Aliases

arxiv: 1307.4073 · arxiv_version: 1307.4073v1 · doi: 10.48550/arxiv.1307.4073 · pith_short_12: XJ22OK6337RV · pith_short_16: XJ22OK6337RVUAAD · pith_short_8: XJ22OK63

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/XJ22OK6337RVUAADO43S2B6465 \
  | 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: ba75a72bdbdfe35a000377372d07dcf74812fdbb9377f2d36a3b6878eb128990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb3df8b62a4fb0f9cb23ed928c2192ea7ec02c8f22971c1e97e49aeff3882b6",
    "cross_cats_sorted": [
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-15T19:56:31Z",
    "title_canon_sha256": "32e4db2ea07b34fe30bb3e480a09c9d7155d9e0ace0745dfab2b9a729049265c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4073",
    "kind": "arxiv",
    "version": 1
  }
}