Pith Number

pith:UZRU5SJL

pith:2019:UZRU5SJLXAIOHBGSLVZ5U72S4U

not attested not anchored not stored refs pending

Quantum differentials on cross product Hopf algebras

Ryan Aziz, Shahn Majid

arxiv:1904.02662 v4 · 2019-04-04 · 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{UZRU5SJLXAIOHBGSLVZ5U72S4U}

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	2026-07-05T00:48:58.806418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6634ec92bb810e384d25d73da7f52e5073ca6b0e9dc55f5e8a09c019d8d3a86

Aliases

arxiv: 1904.02662 · arxiv_version: 1904.02662v4 · doi: 10.48550/arxiv.1904.02662 · pith_short_12: UZRU5SJLXAIO · pith_short_16: UZRU5SJLXAIOHBGS · pith_short_8: UZRU5SJL

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/UZRU5SJLXAIOHBGSLVZ5U72S4U \
  | 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: a6634ec92bb810e384d25d73da7f52e5073ca6b0e9dc55f5e8a09c019d8d3a86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883ba40f16324f40a78211fd1d75f9dee838b26d065222e0b512aecdf69c0157",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-04-04T16:57:35Z",
    "title_canon_sha256": "d8192f36f5043344121fb6c86bccdcd517eb3571a15747426b3b6c12ade38ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02662",
    "kind": "arxiv",
    "version": 4
  }
}