Pith Number

pith:EBEJC5K4

pith:2001:EBEJC5K4MIYWE6CXEK73RBGRMC

not attested not anchored not stored refs pending

Subalgebras of $\gc_N$ and Jacobi polynomials

Alberto De Sole, Victor G. Kac

arxiv:math-ph/0112028 v1 · 2001-12-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EBEJC5K4MIYWE6CXEK73RBGRMC}

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	2026-05-18T01:24:09.266512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

204891755c623162785722bfb884d160a925d3ed0a69d63b396992e26d91f76e

Aliases

arxiv: math-ph/0112028 · arxiv_version: math-ph/0112028v1 · doi: 10.48550/arxiv.math-ph/0112028 · pith_short_12: EBEJC5K4MIYW · pith_short_16: EBEJC5K4MIYWE6CX · pith_short_8: EBEJC5K4

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/EBEJC5K4MIYWE6CXEK73RBGRMC \
  | 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: 204891755c623162785722bfb884d160a925d3ed0a69d63b396992e26d91f76e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39ebed04da20cb4c56cd86cb503fd63d766fca8baebd1e34491adbf51796c83e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-12-13T17:45:18Z",
    "title_canon_sha256": "11e7cbae408615f79fe8d1fe891c2fc907d6bdab3091d79110abd90982479126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0112028",
    "kind": "arxiv",
    "version": 1
  }
}