Pith Number

pith:QHAL7324

pith:2017:QHAL7324CVKWBZSS6PQCOV2PAH

not attested not anchored not stored refs pending

Graded multiplications on iterated bar constructions

Bruno Stonek

arxiv:1702.02984 v2 · 2017-02-09 · math.AT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHAL7324CVKWBZSS6PQCOV2PAH}

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	2026-05-18T00:34:41.922479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c0bfef5c155560e652f3e027574f01c2ee49a5ab410d5b38a667227e872f3b

Aliases

arxiv: 1702.02984 · arxiv_version: 1702.02984v2 · doi: 10.48550/arxiv.1702.02984 · pith_short_12: QHAL7324CVKW · pith_short_16: QHAL7324CVKWBZSS · pith_short_8: QHAL7324

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/QHAL7324CVKWBZSS6PQCOV2PAH \
  | 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: 81c0bfef5c155560e652f3e027574f01c2ee49a5ab410d5b38a667227e872f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a378a9cb9dfd5c71434f03c6069b8b86fc5da58354419d6ab84f0b335254f7c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-02-09T21:12:30Z",
    "title_canon_sha256": "20dd11099fcaba97d120b22c784ef2f24813dad592ab9422646c054626457176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02984",
    "kind": "arxiv",
    "version": 2
  }
}