Pith Number

pith:XMURP4AQ

pith:2016:XMURP4AQWGE5BH4533V6KVTSKQ

not attested not anchored not stored refs pending

A note on Dickson polynomials of the third kind and Legendre functions

Neranga Fernando, Solomon Manukure

arxiv:1604.04682 v4 · 2016-04-16 · 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{XMURP4AQWGE5BH4533V6KVTSKQ}

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	2026-05-17T23:48:41.117593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2917f010b189d09f9ddeebe55672541aec1a7bb4e80195cff0ef74f91f5493

Aliases

arxiv: 1604.04682 · arxiv_version: 1604.04682v4 · doi: 10.48550/arxiv.1604.04682 · pith_short_12: XMURP4AQWGE5 · pith_short_16: XMURP4AQWGE5BH45 · pith_short_8: XMURP4AQ

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/XMURP4AQWGE5BH4533V6KVTSKQ \
  | 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: bb2917f010b189d09f9ddeebe55672541aec1a7bb4e80195cff0ef74f91f5493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "516a0181f309214c6e7880c5a0fdeee406853f3f6a54467853c8d18b432b9964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-16T02:39:39Z",
    "title_canon_sha256": "c6fe2e56e30e42148deb66865a16986570933be781d01aaaecdf1953e72ce569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04682",
    "kind": "arxiv",
    "version": 4
  }
}