Pith Number

pith:JEAUKOJ7

pith:2015:JEAUKOJ7U7AJXFNLBBC3JMOUVF

not attested not anchored not stored refs pending

${\mathbb Z}_n$-equivariant $K$-theory

Larry B. Schweitzer

arxiv:1505.02043 v1 · 2015-05-08 · math.OA · 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{JEAUKOJ7U7AJXFNLBBC3JMOUVF}

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	2026-05-18T02:16:38.081484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

490145393fa7c09b95ab0845b4b1d4a943b9d3abe12e433e90d8b1a4ace09348

Aliases

arxiv: 1505.02043 · arxiv_version: 1505.02043v1 · doi: 10.48550/arxiv.1505.02043 · pith_short_12: JEAUKOJ7U7AJ · pith_short_16: JEAUKOJ7U7AJXFNL · pith_short_8: JEAUKOJ7

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/JEAUKOJ7U7AJXFNLBBC3JMOUVF \
  | 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: 490145393fa7c09b95ab0845b4b1d4a943b9d3abe12e433e90d8b1a4ace09348

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa12bf975413f4c3fc0688b5f675a57c01d9bd13f6d65c8f594c0282d7032a9",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-08T14:20:28Z",
    "title_canon_sha256": "1315e5185221d4040617d0fb904ddf86fb7d6ec4cae4e78e94e4537b86d2a7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02043",
    "kind": "arxiv",
    "version": 1
  }
}