Pith Number

pith:27ELGYRE

pith:2015:27ELGYREZNHESTLVEJRQH66WFW

not attested not anchored not stored refs pending

Geometric realizations of Lusztig's symmetries of symmetrizable quantum groups

Minghui Zhao

arxiv:1510.00937 v1 · 2015-10-04 · math.RT · 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{27ELGYREZNHESTLVEJRQH66WFW}

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	2026-05-18T01:31:05.178268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c8b36224cb4e494d75226303fbd62d8ed590575f627b1809bb0c463f91dfae

Aliases

arxiv: 1510.00937 · arxiv_version: 1510.00937v1 · doi: 10.48550/arxiv.1510.00937 · pith_short_12: 27ELGYREZNHE · pith_short_16: 27ELGYREZNHESTLV · pith_short_8: 27ELGYRE

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/27ELGYREZNHESTLVEJRQH66WFW \
  | 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: d7c8b36224cb4e494d75226303fbd62d8ed590575f627b1809bb0c463f91dfae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a30d4a1e69f6fe2d5dfb74e63b73b34e8bd735da0ac9ddffed060de94079021e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-04T13:47:29Z",
    "title_canon_sha256": "6631b855722abbf4af77dd49e8e72399786dcba2320d3db20919db90d28b5a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00937",
    "kind": "arxiv",
    "version": 1
  }
}