Pith Number

pith:P4WPEW3Y

pith:2014:P4WPEW3Y7PEKPNDLFCZYOIL6KE

not attested not anchored not stored refs pending

An integral identity with applications in orthogonal polynomials

Yuan Xu

arxiv:1405.2812 v2 · 2014-05-12 · 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{P4WPEW3Y7PEKPNDLFCZYOIL6KE}

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	2026-05-18T02:48:45.975766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f2cf25b78fbc8a7b46b28b387217e510545c07ab8247f3feed2c1d79185d0a7

Aliases

arxiv: 1405.2812 · arxiv_version: 1405.2812v2 · doi: 10.48550/arxiv.1405.2812 · pith_short_12: P4WPEW3Y7PEK · pith_short_16: P4WPEW3Y7PEKPNDL · pith_short_8: P4WPEW3Y

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/P4WPEW3Y7PEKPNDLFCZYOIL6KE \
  | 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: 7f2cf25b78fbc8a7b46b28b387217e510545c07ab8247f3feed2c1d79185d0a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605a398cc44c3fffd5743abc479996d688640a1ca1e3195d8f0532874e6cf546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-12T15:39:21Z",
    "title_canon_sha256": "e844a2b63e7a6d9ee233939acfb7caa9bc805a9c3e1ba99b5857954824f68cce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2812",
    "kind": "arxiv",
    "version": 2
  }
}