Pith Number

pith:4XSPSL7T

pith:2014:4XSPSL7THNY5VITBGMOK43JQFK

not attested not anchored not stored refs pending

Basis properties of the p,q-sine functions

Gabriel Lord, Lyonell Boulton

arxiv:1405.7337 v2 · 2014-05-28 · math.FA · math.CA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XSPSL7THNY5VITBGMOK43JQFK}

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	2026-05-18T01:43:05.290966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e4f92ff33b71daa261331cae6d302aacde3fa82dfc1fcf37adb6d44276f774

Aliases

arxiv: 1405.7337 · arxiv_version: 1405.7337v2 · doi: 10.48550/arxiv.1405.7337 · pith_short_12: 4XSPSL7THNY5 · pith_short_16: 4XSPSL7THNY5VITB · pith_short_8: 4XSPSL7T

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/4XSPSL7THNY5VITBGMOK43JQFK \
  | 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: e5e4f92ff33b71daa261331cae6d302aacde3fa82dfc1fcf37adb6d44276f774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8758487c0e03b4791bd6cf792d2379d7bdfb648279c0409e08e88ef33e5736a",
    "cross_cats_sorted": [
      "math.CA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-05-28T19:09:48Z",
    "title_canon_sha256": "262dda931c87b1cf7b51f666edf62fc42568382f7dac71e8558daecee677a506"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7337",
    "kind": "arxiv",
    "version": 2
  }
}