Pith Number

pith:ZJ2HX3CQ

pith:2020:ZJ2HX3CQJT65VAM7Y4256L5OXJ

not attested not anchored not stored refs pending

Lectures on dualities ABC in representation theory

Li Luo, Weiqiang Wang

arxiv:2012.07203 v2 · 2020-12-14 · 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{ZJ2HX3CQJT65VAM7Y4256L5OXJ}

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	2026-07-05T03:49:58.984374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca747bec504cfdda819fc735df2faeba4d25bc9c0fbc08edeb8fcd752d5cd703

Aliases

arxiv: 2012.07203 · arxiv_version: 2012.07203v2 · doi: 10.48550/arxiv.2012.07203 · pith_short_12: ZJ2HX3CQJT65 · pith_short_16: ZJ2HX3CQJT65VAM7 · pith_short_8: ZJ2HX3CQ

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/ZJ2HX3CQJT65VAM7Y4256L5OXJ \
  | 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: ca747bec504cfdda819fc735df2faeba4d25bc9c0fbc08edeb8fcd752d5cd703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b60358529c24213455ebe9144a9be1f52734e24c4b834cef1045f52db6928b2a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2020-12-14T01:32:49Z",
    "title_canon_sha256": "730b63f41bd0c5bf21069aa12c9564875fdf5f64ac9e50101538d5970cfa2144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07203",
    "kind": "arxiv",
    "version": 2
  }
}