Pith Number

pith:W64SR4AY

pith:2016:W64SR4AYQILXKTNRJF2HXO6O7L

not attested not anchored not stored refs pending

Noncommutative topological $\mathbb{Z}_2$ invariant

Birgit Wehefritz-Kaufmann, Dan Li, Ralph M. Kaufmann

arxiv:1605.09470 v1 · 2016-05-31 · math-ph · cond-mat.other · 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{W64SR4AYQILXKTNRJF2HXO6O7L}

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	2026-05-18T01:13:17.215789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b928f0188217754db149747bbbcefafd33c51fc8d2a276a3ec09a4b1119591

Aliases

arxiv: 1605.09470 · arxiv_version: 1605.09470v1 · doi: 10.48550/arxiv.1605.09470 · pith_short_12: W64SR4AYQILX · pith_short_16: W64SR4AYQILXKTNR · pith_short_8: W64SR4AY

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/W64SR4AYQILXKTNRJF2HXO6O7L \
  | 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: b7b928f0188217754db149747bbbcefafd33c51fc8d2a276a3ec09a4b1119591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3946980323814161d2398e25d81a4b197b81ade0431f3ab8d41e4eb90be366ae",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-05-31T02:32:41Z",
    "title_canon_sha256": "e4e59dd2dff8287ef3f1ccd472f417573ae928434001cf79721e6abdb059135d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09470",
    "kind": "arxiv",
    "version": 1
  }
}