Pith Number

pith:LTKXHUBR

pith:2011:LTKXHUBRMLEB4VTE3UWNAKNYPR

not attested not anchored not stored refs pending

Higher K-theory of polynomial categories

Akiyoshi Sannai, Satoshi Mochizuki

arxiv:1104.4240 v1 · 2011-04-21 · math.AC · 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{LTKXHUBRMLEB4VTE3UWNAKNYPR}

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	2026-05-18T04:23:44.766624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cd573d03162c81e5664dd2cd029b87c5427aa21c4b51351df34d5cbfd3e7170

Aliases

arxiv: 1104.4240 · arxiv_version: 1104.4240v1 · doi: 10.48550/arxiv.1104.4240 · pith_short_12: LTKXHUBRMLEB · pith_short_16: LTKXHUBRMLEB4VTE · pith_short_8: LTKXHUBR

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/LTKXHUBRMLEB4VTE3UWNAKNYPR \
  | 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: 5cd573d03162c81e5664dd2cd029b87c5427aa21c4b51351df34d5cbfd3e7170

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98602343c7c3fc56036b71b7c610f6a9213242c8219fb924616d52a4caf637a2",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-04-21T11:46:38Z",
    "title_canon_sha256": "f56775bea8fcbdb535e58d006ab3eb392e404537197e078eaa1b5f724450939e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4240",
    "kind": "arxiv",
    "version": 1
  }
}