Pith Number

pith:W57Z5PXP

pith:2015:W57Z5PXP6BPRVPYMB3SLBB7JVA

not attested not anchored not stored refs pending

Explicit coproduct formula for quantum group of the type $G_2$

Cristian Vay, Vladislav Kharchenko

arxiv:1510.02820 v1 · 2015-10-09 · 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{W57Z5PXP6BPRVPYMB3SLBB7JVA}

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	2026-05-18T00:07:44.107726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b77f9ebeeff05f1abf0c0ee4b087e9a822da088fe8c89f3ae242544b5690457f

Aliases

arxiv: 1510.02820 · arxiv_version: 1510.02820v1 · doi: 10.48550/arxiv.1510.02820 · pith_short_12: W57Z5PXP6BPR · pith_short_16: W57Z5PXP6BPRVPYM · pith_short_8: W57Z5PXP

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/W57Z5PXP6BPRVPYMB3SLBB7JVA \
  | 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: b77f9ebeeff05f1abf0c0ee4b087e9a822da088fe8c89f3ae242544b5690457f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "117ddf35aabb558b6bb44f1599d463e16aef1a0c2d2d1ff5555866f8d55d9c1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-10-09T20:46:28Z",
    "title_canon_sha256": "e109b33425654493e6c3ee691c0014a2ebeffbef248473a526eb473048c1e1fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02820",
    "kind": "arxiv",
    "version": 1
  }
}