Pith Number

pith:IVEOV7BF

pith:2007:IVEOV7BFPZRN6LWU6GY6LF4JHN

not attested not anchored not stored refs pending

Category of Noncommutative CW Complexes

Do Ngoc Diep

arxiv:0707.0191 v1 · 2007-07-02 · math.QA · 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{IVEOV7BFPZRN6LWU6GY6LF4JHN}

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	2026-05-18T02:50:23.131471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4548eafc257e62df2ed4f1b1e597893b612cac01a9082df4528f0e2f2b366ebb

Aliases

arxiv: 0707.0191 · arxiv_version: 0707.0191v1 · doi: 10.48550/arxiv.0707.0191 · pith_short_12: IVEOV7BFPZRN · pith_short_16: IVEOV7BFPZRN6LWU · pith_short_8: IVEOV7BF

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/IVEOV7BFPZRN6LWU6GY6LF4JHN \
  | 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: 4548eafc257e62df2ed4f1b1e597893b612cac01a9082df4528f0e2f2b366ebb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4263aaf37fc8d3cdbfa46a567ceb8296ce14c06d9ef8ed21a61ca2a14cca6928",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2007-07-02T10:47:31Z",
    "title_canon_sha256": "a96b847de088874a8a91da26e9b8ae80cabe99f518655ef3c8a6d4c305d9a5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0191",
    "kind": "arxiv",
    "version": 1
  }
}