Pith Number

pith:X24V7SZD

pith:2012:X24V7SZDYSO4U4GQLI7X7MD3FW

not attested not anchored not stored refs pending

The quasi-Hopf analogue of $u_q(sl_2)$

Gongxiang Liu

arxiv:1202.1631 v1 · 2012-02-08 · 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{X24V7SZDYSO4U4GQLI7X7MD3FW}

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	2026-05-18T04:02:51.742972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb95fcb23c49dca70d05a3f7fb07b2db647f15316cba6a983691ae316a7f843

Aliases

arxiv: 1202.1631 · arxiv_version: 1202.1631v1 · doi: 10.48550/arxiv.1202.1631 · pith_short_12: X24V7SZDYSO4 · pith_short_16: X24V7SZDYSO4U4GQ · pith_short_8: X24V7SZD

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/X24V7SZDYSO4U4GQLI7X7MD3FW \
  | 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: beb95fcb23c49dca70d05a3f7fb07b2db647f15316cba6a983691ae316a7f843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ef4bc5d1a2c9a833b05cdb1d3518fe96a2b64002a447cf4a17015f46cd74c41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-02-08T09:12:45Z",
    "title_canon_sha256": "af4b8ada3681b1a39a0ae28d198d928ade2841c291e0ed2f234633327fe1742b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1631",
    "kind": "arxiv",
    "version": 1
  }
}