Pith Number

pith:IHLWW2UC

pith:2013:IHLWW2UCEGD3HRHYLV6NP7KGNC

not attested not anchored not stored refs pending

Orthogonality relations for Al-Salam--Carlitz polynomials of type II

Wolter Groenevelt

arxiv:1309.7569 v1 · 2013-09-29 · 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{IHLWW2UCEGD3HRHYLV6NP7KGNC}

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	2026-05-18T00:24:25.516480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41d76b6a822187b3c4f85d7cd7fd4668a3b4b9445091601599c11865a2106787

Aliases

arxiv: 1309.7569 · arxiv_version: 1309.7569v1 · doi: 10.48550/arxiv.1309.7569 · pith_short_12: IHLWW2UCEGD3 · pith_short_16: IHLWW2UCEGD3HRHY · pith_short_8: IHLWW2UC

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/IHLWW2UCEGD3HRHYLV6NP7KGNC \
  | 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: 41d76b6a822187b3c4f85d7cd7fd4668a3b4b9445091601599c11865a2106787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af0ade8fe530a0e492c4f141baa619152dd2c6fb144eb4d246534df131a5783a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-29T10:26:59Z",
    "title_canon_sha256": "704aa05c9576cb822b2130b9dbcdbdcda419624122c07215e9fdae15895391a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7569",
    "kind": "arxiv",
    "version": 1
  }
}