Pith Number

pith:ZYDVKABP

pith:2010:ZYDVKABPVMBQ53P2MBN4ECVDOR

not attested not anchored not stored refs pending

A universal characterization of higher algebraic K-theory

Andrew J. Blumberg, David Gepner, Goncalo Tabuada

arxiv:1001.2282 v4 · 2010-01-13 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYDVKABPVMBQ53P2MBN4ECVDOR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:24:45.096290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce0755002fab030eedfa605bc20aa3744b8aa3f455d767d7d24b48ba69779399

Aliases

arxiv: 1001.2282 · arxiv_version: 1001.2282v4 · doi: 10.48550/arxiv.1001.2282 · pith_short_12: ZYDVKABPVMBQ · pith_short_16: ZYDVKABPVMBQ53P2 · pith_short_8: ZYDVKABP

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/ZYDVKABPVMBQ53P2MBN4ECVDOR \
  | 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: ce0755002fab030eedfa605bc20aa3744b8aa3f455d767d7d24b48ba69779399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64b73976fc8700350dea2d5d520bb704f536f8e79770b01ee068db329831cac",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-01-13T19:29:51Z",
    "title_canon_sha256": "c39b2585ceacf64e2379b188d9a0bb83415d4b2edce64f8cea215ea8c1196347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2282",
    "kind": "arxiv",
    "version": 4
  }
}