Pith Number

pith:RN7UKDAT

pith:2014:RN7UKDATVVM6C4WY2D2ZAUBLQD

not attested not anchored not stored refs pending

Controlled Algebra for Simplicial Rings and Algebraic K-theory

Mark Ullmann

arxiv:1401.7852 v2 · 2014-01-30 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RN7UKDATVVM6C4WY2D2ZAUBLQD}

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	2026-05-18T02:49:11.976649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b7f450c13ad59e172d8d0f590502b80e46941be2e9dea45428575cadefec59c

Aliases

arxiv: 1401.7852 · arxiv_version: 1401.7852v2 · doi: 10.48550/arxiv.1401.7852 · pith_short_12: RN7UKDATVVM6 · pith_short_16: RN7UKDATVVM6C4WY · pith_short_8: RN7UKDAT

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/RN7UKDATVVM6C4WY2D2ZAUBLQD \
  | 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: 8b7f450c13ad59e172d8d0f590502b80e46941be2e9dea45428575cadefec59c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b13b47b624725db5749da912ee5ac7bbf69d998b70a9ec87abd6a679fabe81",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-01-30T14:18:40Z",
    "title_canon_sha256": "e0f6db5c686e65e2e84469b3d02e204ff52ac4bdaa94fb06833aaf90490a2022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7852",
    "kind": "arxiv",
    "version": 2
  }
}