Pith Number

pith:N6HZKJ5B

pith:2014:N6HZKJ5B7AESDIVXTWP7JFMNEP

not attested not anchored not stored refs pending

Euler characteristic on noncommutative polyballs

Gelu Popescu

arxiv:1408.0162 v2 · 2014-08-01 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N6HZKJ5B7AESDIVXTWP7JFMNEP}

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	2026-05-18T02:32:07.331400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f8f9527a1f80921a2b79d9ff4958d23c75efb29c1ecbac1c2d10cc93e514408

Aliases

arxiv: 1408.0162 · arxiv_version: 1408.0162v2 · doi: 10.48550/arxiv.1408.0162 · pith_short_12: N6HZKJ5B7AES · pith_short_16: N6HZKJ5B7AESDIVX · pith_short_8: N6HZKJ5B

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/N6HZKJ5B7AESDIVXTWP7JFMNEP \
  | 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: 6f8f9527a1f80921a2b79d9ff4958d23c75efb29c1ecbac1c2d10cc93e514408

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93bb825ad6667951c6473fadaec5113a9ee2c305fb9cae4b21521e78a9c3087f",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-08-01T13:09:28Z",
    "title_canon_sha256": "0fb022788d3eab7d3441e40b38648daa8226ad916970f29d170a28d2fa229eab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0162",
    "kind": "arxiv",
    "version": 2
  }
}