Pith Number

pith:HI37A7RE

pith:2016:HI37A7RE3RO22PJDF6KOTPLPGT

not attested not anchored not stored refs pending

Non-affine Hopf algebra domains of Gelfand-Kirillov dimension two

J.J. Zhang, K.R. Goodearl

arxiv:1606.04177 v1 · 2016-06-13 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HI37A7RE3RO22PJDF6KOTPLPGT}

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	2026-05-18T01:12:26.000567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a37f07e24dc5dad3d232f94e9bd6f34d3156b3680e91b4138e8d5cbbbec0adb

Aliases

arxiv: 1606.04177 · arxiv_version: 1606.04177v1 · doi: 10.48550/arxiv.1606.04177 · pith_short_12: HI37A7RE3RO2 · pith_short_16: HI37A7RE3RO22PJD · pith_short_8: HI37A7RE

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/HI37A7RE3RO22PJDF6KOTPLPGT \
  | 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: 3a37f07e24dc5dad3d232f94e9bd6f34d3156b3680e91b4138e8d5cbbbec0adb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7b2d5a12db4fd61b2ca4d4f6ae8f9eeea500739ce446272954eb520f19d86ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-13T23:58:30Z",
    "title_canon_sha256": "c16b9c5b9fee9ee7e8739e678f900f22ce86e8c043ac0c36546ce48437f4f6ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04177",
    "kind": "arxiv",
    "version": 1
  }
}