Pith Number

pith:7HJE3JTL

pith:2015:7HJE3JTLQ4FPXJ3ICZRVXNYG2G

not attested not anchored not stored refs pending

Quantum families of quantum group homomorphisms

Mariusz Budzi\'nski, Pawe{\l} Kasprzak

arxiv:1506.03921 v5 · 2015-06-12 · 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{7HJE3JTLQ4FPXJ3ICZRVXNYG2G}

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	2026-05-18T01:11:21.777428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d24da66b870afba76816635bb706d1a3033c431b091c6a196f1e4d0b7a7660

Aliases

arxiv: 1506.03921 · arxiv_version: 1506.03921v5 · doi: 10.48550/arxiv.1506.03921 · pith_short_12: 7HJE3JTLQ4FP · pith_short_16: 7HJE3JTLQ4FPXJ3I · pith_short_8: 7HJE3JTL

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/7HJE3JTLQ4FPXJ3ICZRVXNYG2G \
  | 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: f9d24da66b870afba76816635bb706d1a3033c431b091c6a196f1e4d0b7a7660

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae6bde39a2a13d4029cf3888803d80cc45c4ccab44d86fccc9f5eb64830249b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-06-12T07:52:22Z",
    "title_canon_sha256": "fb532470642ac1a7e00f4015fc50cb541801a8f318cc1230a32487b134b2f4f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03921",
    "kind": "arxiv",
    "version": 5
  }
}