Pith Number

pith:J5QPWZF2

pith:2017:J5QPWZF2WPRSHRLT77NKHK2ROD

not attested not anchored not stored refs pending

Ringel-Hall algebra construction of quantum Borcherds-Bozec algebras

Seok-Jin Kang

arxiv:1709.10235 v3 · 2017-09-29 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5QPWZF2WPRSHRLT77NKHK2ROD}

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	2026-05-18T00:32:57.201576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f60fb64bab3e323c573ffdaa3ab5170d4da2b1925cab5cd433559efa7d25628

Aliases

arxiv: 1709.10235 · arxiv_version: 1709.10235v3 · doi: 10.48550/arxiv.1709.10235 · pith_short_12: J5QPWZF2WPRS · pith_short_16: J5QPWZF2WPRSHRLT · pith_short_8: J5QPWZF2

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/J5QPWZF2WPRSHRLT77NKHK2ROD \
  | 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: 4f60fb64bab3e323c573ffdaa3ab5170d4da2b1925cab5cd433559efa7d25628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56659a5eeb88666e1945b21e359c258401349051824f84eeb4ccdc1c9eb737e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-29T04:38:12Z",
    "title_canon_sha256": "0eda7f9a121728556bb301895693e489a801847611653510ee263e6100bba79e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10235",
    "kind": "arxiv",
    "version": 3
  }
}