Pith Number

pith:KPQXBQZG

pith:2012:KPQXBQZGU42P7Q7HLOA5KCKPFV

not attested not anchored not stored refs pending

$K$-continuity is equivalent to $K$-exactness

Otgonbayar Uuye

arxiv:1211.4490 v2 · 2012-11-19 · 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{KPQXBQZGU42P7Q7HLOA5KCKPFV}

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	2026-05-18T03:38:55.435033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53e170c326a734ffc3e75b81d5094f2d689c79298a993fe25aff38c7ef325667

Aliases

arxiv: 1211.4490 · arxiv_version: 1211.4490v2 · doi: 10.48550/arxiv.1211.4490 · pith_short_12: KPQXBQZGU42P · pith_short_16: KPQXBQZGU42P7Q7H · pith_short_8: KPQXBQZG

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/KPQXBQZGU42P7Q7HLOA5KCKPFV \
  | 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: 53e170c326a734ffc3e75b81d5094f2d689c79298a993fe25aff38c7ef325667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "234c5a16e632af3ccf350a0257d5c538a458de32476e5de47893730a8754ae07",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-11-19T16:42:19Z",
    "title_canon_sha256": "4ff98309c9d1c6ada42570b69068e6a5c7b436765912e52e681a2427ebb4e859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4490",
    "kind": "arxiv",
    "version": 2
  }
}