Pith Number

pith:PBLZBOLI

pith:2010:PBLZBOLIWMYFGAH5BCCTEPCTRV

not attested not anchored not stored refs pending

On the Algebraic K-theory of Monoids

Chenghao Chu, Jack Morava

arxiv:1009.3235 v1 · 2010-09-16 · 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{PBLZBOLIWMYFGAH5BCCTEPCTRV}

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	2026-05-18T04:40:46.701591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785790b968b3305300fd0885323c538d48845bc279f0b0120685dcde5631d16e

Aliases

arxiv: 1009.3235 · arxiv_version: 1009.3235v1 · doi: 10.48550/arxiv.1009.3235 · pith_short_12: PBLZBOLIWMYF · pith_short_16: PBLZBOLIWMYFGAH5 · pith_short_8: PBLZBOLI

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/PBLZBOLIWMYFGAH5BCCTEPCTRV \
  | 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: 785790b968b3305300fd0885323c538d48845bc279f0b0120685dcde5631d16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68ca83ef9451d6e9b38314dd3af2b7c62c42dd906c1c45731bce7ce3bf78e472",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2010-09-16T18:15:37Z",
    "title_canon_sha256": "36d75f2a8f6e86ad5ba139a9166706c0e561937c9aa000b1a619dd7fa4d6721a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3235",
    "kind": "arxiv",
    "version": 1
  }
}