Pith Number

pith:KVTLZEX2

pith:2009:KVTLZEX2ZMXDXYJPFRJKYZOEXJ

not attested not anchored not stored refs pending

A model structure on the category of small categories for coverings

Kohei Tanaka

arxiv:0907.5339 v2 · 2009-07-30 · math.CT · 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{KVTLZEX2ZMXDXYJPFRJKYZOEXJ}

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	2026-05-18T03:56:22.985521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5566bc92facb2e3be12f2c52ac65c4ba6751784c31920c07c86dbd82bd0585f6

Aliases

arxiv: 0907.5339 · arxiv_version: 0907.5339v2 · doi: 10.48550/arxiv.0907.5339 · pith_short_12: KVTLZEX2ZMXD · pith_short_16: KVTLZEX2ZMXDXYJP · pith_short_8: KVTLZEX2

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/KVTLZEX2ZMXDXYJPFRJKYZOEXJ \
  | 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: 5566bc92facb2e3be12f2c52ac65c4ba6751784c31920c07c86dbd82bd0585f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86771331782add3efae4583b6c2bf1f8b50389ffbec72053874fad21ae4097e2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-07-30T13:49:21Z",
    "title_canon_sha256": "639bfc913d2662ca48fc9266f7db4bf0d852f458cef7874289187292f5bc7211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5339",
    "kind": "arxiv",
    "version": 2
  }
}