Pith Number

pith:CX63WI74

pith:2013:CX63WI747T6E4UWMVPI7PGDBWK

not attested not anchored not stored refs pending

K-theory of endomorphisms via noncommutative motives

Andrew J. Blumberg, David Gepner, Goncalo Tabuada

arxiv:1302.1214 v1 · 2013-02-05 · math.AT · 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{CX63WI747T6E4UWMVPI7PGDBWK}

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	2026-05-18T03:34:24.855462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15fdbb23fcfcfc4e52ccabd1f79861b2888bb71229e663f97b2520597922b360

Aliases

arxiv: 1302.1214 · arxiv_version: 1302.1214v1 · doi: 10.48550/arxiv.1302.1214 · pith_short_12: CX63WI747T6E · pith_short_16: CX63WI747T6E4UWM · pith_short_8: CX63WI74

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/CX63WI747T6E4UWMVPI7PGDBWK \
  | 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: 15fdbb23fcfcfc4e52ccabd1f79861b2888bb71229e663f97b2520597922b360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f9db402d1173fa511882a4c8686de0eed1586dcc442ddc037620d0d8f861505",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-05T21:54:53Z",
    "title_canon_sha256": "45e2479844ada1c0ff56c24bb4f3f966e2cffd3e60d0c8c11507eef90ba45853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1214",
    "kind": "arxiv",
    "version": 1
  }
}