Pith Number

pith:GL7VR6RJ

pith:2014:GL7VR6RJDHSB4PLTEBSP4JRGUA

not attested not anchored not stored refs pending

Truncation and duality results for Hopf image algebras

Teodor Banica

arxiv:1404.3544 v4 · 2014-04-14 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GL7VR6RJDHSB4PLTEBSP4JRGUA}

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	2026-05-18T02:39:08.763564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ff58fa2919e41e3d732064fe2626a0270e08638717a852a548d0085496735c

Aliases

arxiv: 1404.3544 · arxiv_version: 1404.3544v4 · doi: 10.48550/arxiv.1404.3544 · pith_short_12: GL7VR6RJDHSB · pith_short_16: GL7VR6RJDHSB4PLT · pith_short_8: GL7VR6RJ

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/GL7VR6RJDHSB4PLTEBSP4JRGUA \
  | 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: 32ff58fa2919e41e3d732064fe2626a0270e08638717a852a548d0085496735c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc76ba3fae6eb95b530fa3ffcb03c8a6cd02e0db221ca38d56fbe524a528a556",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-04-14T11:39:24Z",
    "title_canon_sha256": "6b1c05369457ad48b511de073a33930b865f85434dd29c15372d3f37a4306855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3544",
    "kind": "arxiv",
    "version": 4
  }
}