Pith Number

pith:JCRFJCFS

pith:2019:JCRFJCFSZCIMXKMKBEH3TR7CAZ

not attested not anchored not stored refs pending

Macdonald operators and quantum Q-systems for classical types

Philippe Di Francesco, Rinat Kedem

arxiv:1908.00806 v1 · 2019-08-02 · math-ph · math.MP · 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{JCRFJCFSZCIMXKMKBEH3TR7CAZ}

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	2026-07-04T23:51:09.649652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a25488b2c890cba98a090fb9c7e2066b5a2d4bed379deac9ebe64d6877ba1d

Aliases

arxiv: 1908.00806 · arxiv_version: 1908.00806v1 · doi: 10.48550/arxiv.1908.00806 · pith_short_12: JCRFJCFSZCIM · pith_short_16: JCRFJCFSZCIMXKMK · pith_short_8: JCRFJCFS

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/JCRFJCFSZCIMXKMKBEH3TR7CAZ \
  | 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: 48a25488b2c890cba98a090fb9c7e2066b5a2d4bed379deac9ebe64d6877ba1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8f6ced6296b3d394bc5c0fd1b4581bd8fe27f4d387140b77c61f6b1726f200",
    "cross_cats_sorted": [
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-02T11:11:59Z",
    "title_canon_sha256": "d0d9fcebef36db0624cc34957921a2640450f0e7337f27c71cd33eb18ad8dc62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00806",
    "kind": "arxiv",
    "version": 1
  }
}