Pith Number

pith:JAGR4S2D

pith:2018:JAGR4S2DIIP755HMCOKBVDLJCM

not attested not anchored not stored refs pending

Symmetry of eigenvalues of operators associated with representations of compact quantum groups

Jacek Krajczok

arxiv:1803.05658 v2 · 2018-03-15 · math.QA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JAGR4S2DIIP755HMCOKBVDLJCM}

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	2026-05-18T00:16:42.057171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480d1e4b43421ffef4ec13941a8d691330d6bce5ee6ec37018ba959b8ecf5fb8

Aliases

arxiv: 1803.05658 · arxiv_version: 1803.05658v2 · doi: 10.48550/arxiv.1803.05658 · pith_short_12: JAGR4S2DIIP7 · pith_short_16: JAGR4S2DIIP755HM · pith_short_8: JAGR4S2D

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/JAGR4S2DIIP755HMCOKBVDLJCM \
  | 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: 480d1e4b43421ffef4ec13941a8d691330d6bce5ee6ec37018ba959b8ecf5fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22617f530e1819ba22251a49642a58d306158e89bf530a04299676ec444bdc84",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-03-15T09:32:43Z",
    "title_canon_sha256": "7e6c899e3cfedcb34967d94ec1d7e7109fd36b8d6cc56cad8d32fd88b37b40d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05658",
    "kind": "arxiv",
    "version": 2
  }
}