Pith Number

pith:WJ65YMI7

pith:2014:WJ65YMI7MUDP4ZGCGQUJAYHTEA

not attested not anchored not stored refs pending

From Topology to Noncommutative Geometry: $K$-theory

Nadish de Silva

arxiv:1408.1170 v1 · 2014-08-06 · math.OA · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WJ65YMI7MUDP4ZGCGQUJAYHTEA}

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	2026-05-18T02:45:48.038774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b27ddc311f6506fe64c234289060f320204bb9a607cb34e6606d25fd080072e8

Aliases

arxiv: 1408.1170 · arxiv_version: 1408.1170v1 · doi: 10.48550/arxiv.1408.1170 · pith_short_12: WJ65YMI7MUDP · pith_short_16: WJ65YMI7MUDP4ZGC · pith_short_8: WJ65YMI7

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/WJ65YMI7MUDP4ZGCGQUJAYHTEA \
  | 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: b27ddc311f6506fe64c234289060f320204bb9a607cb34e6606d25fd080072e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3b1bb33a7b604848a397f3296cca292ec54312b94d66ba74c2052f3f5a1a3c6",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-08-06T03:07:26Z",
    "title_canon_sha256": "47722c016df6c59db75f3798417b963d6b46ed1d6ad7619fdc6a5d5cbb249fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1170",
    "kind": "arxiv",
    "version": 1
  }
}