Pith Number

pith:5U2GYVWP

pith:2014:5U2GYVWPTDYRLNCH6CHR7TALKI

not attested not anchored not stored refs pending

Discrete Entropy of Generalized Jacobi Polynomials

Ana Pe\~na, Andrei Martinez-Finkelshtein, Paul Nevai

arxiv:1410.2286 v2 · 2014-10-08 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5U2GYVWPTDYRLNCH6CHR7TALKI}

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	2026-05-18T01:59:58.343219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed346c56cf98f115b447f08f1fcc0b5209f29c4d67d5329a8a1257cc86020937

Aliases

arxiv: 1410.2286 · arxiv_version: 1410.2286v2 · doi: 10.48550/arxiv.1410.2286 · pith_short_12: 5U2GYVWPTDYR · pith_short_16: 5U2GYVWPTDYRLNCH · pith_short_8: 5U2GYVWP

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/5U2GYVWPTDYRLNCH6CHR7TALKI \
  | 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: ed346c56cf98f115b447f08f1fcc0b5209f29c4d67d5329a8a1257cc86020937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e15b04f56d9d8f8fa3cfd0623ee4937cf46e0ce5573d7e128bfdc0968b80f1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-08T21:26:48Z",
    "title_canon_sha256": "8b19ddf6d2300eb7dfd01878ba23ea16c223e237aff8c3705d14550856205d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.2286",
    "kind": "arxiv",
    "version": 2
  }
}