Pith Number

pith:7KPES6T4

pith:2014:7KPES6T4JCJL42HGVBACJGMBMW

not attested not anchored not stored refs pending

Spectral flow for nonunital spectral triples

A. Carey, A. Rennie, F. Sukochev, J. Phillips, V. Gayral

arxiv:1401.1354 v2 · 2014-01-07 · math.KT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KPES6T4JCJL42HGVBACJGMBMW}

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	2026-05-18T02:57:43.221419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9e497a7c4892be68e6a840249981659b82c607b0652af4415e42568f8a3119

Aliases

arxiv: 1401.1354 · arxiv_version: 1401.1354v2 · doi: 10.48550/arxiv.1401.1354 · pith_short_12: 7KPES6T4JCJL · pith_short_16: 7KPES6T4JCJL42HG · pith_short_8: 7KPES6T4

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/7KPES6T4JCJL42HGVBACJGMBMW \
  | 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: fa9e497a7c4892be68e6a840249981659b82c607b0652af4415e42568f8a3119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "734d35edf55eaf7634355765eacdddf85d8693ea12cda48210b7fba9693e71a1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-01-07T12:09:56Z",
    "title_canon_sha256": "26ad5967205791f2eda1de7b512508766b80542897a6806ac29666ed59197f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1354",
    "kind": "arxiv",
    "version": 2
  }
}