Pith Number

pith:MFGJHKHF

pith:2015:MFGJHKHFT3H5MQO6N5JJAW7SWA

not attested not anchored not stored refs pending

Doubling (Dual) Hahn Polynomials: Classification and Applications

Joris Van der Jeugt, Roy Oste

arxiv:1507.01821 v3 · 2015-07-07 · math-ph · math.CA · 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{MFGJHKHFT3H5MQO6N5JJAW7SWA}

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	2026-05-18T01:16:29.691277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614c93a8e59ecfd641de6f52905bf2b005755512d593715659fbc4ccb213e763

Aliases

arxiv: 1507.01821 · arxiv_version: 1507.01821v3 · doi: 10.48550/arxiv.1507.01821 · pith_short_12: MFGJHKHFT3H5 · pith_short_16: MFGJHKHFT3H5MQO6 · pith_short_8: MFGJHKHF

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/MFGJHKHFT3H5MQO6N5JJAW7SWA \
  | 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: 614c93a8e59ecfd641de6f52905bf2b005755512d593715659fbc4ccb213e763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7ca4fed274a4c332e851ba2cfa480347be4e08250e32af39413da5f6ef2d762",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-07T14:13:35Z",
    "title_canon_sha256": "5509dfe17c4a172552e8658f5218cefab81ae625fd9c5a085ede443be7b1b257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01821",
    "kind": "arxiv",
    "version": 3
  }
}