Pith Number

pith:OP52CAKI

pith:2019:OP52CAKIBPPAU252GFWLQT2G5Y

not attested not anchored not stored refs pending

Higher Trigonometry: A Class Of Nonlinear Systems

P.L. Robinson

arxiv:1907.05240 v1 · 2019-07-10 · 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{OP52CAKIBPPAU252GFWLQT2G5Y}

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	2026-05-17T23:40:51.061851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73fba101480bde0a6bba316cb84f46ee2f9738761eb7c736b7bdabd2ee2094e4

Aliases

arxiv: 1907.05240 · arxiv_version: 1907.05240v1 · doi: 10.48550/arxiv.1907.05240 · pith_short_12: OP52CAKIBPPA · pith_short_16: OP52CAKIBPPAU252 · pith_short_8: OP52CAKI

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/OP52CAKIBPPAU252GFWLQT2G5Y \
  | 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: 73fba101480bde0a6bba316cb84f46ee2f9738761eb7c736b7bdabd2ee2094e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2902a6ce7961ffa4179289b34d4558de1e7fb263e7e9d134e8bbe7ad446bfc78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-10T14:22:12Z",
    "title_canon_sha256": "477e8da55acfd2999668a2f9cc3f22b0d069cc758e10e8344d3c621d837df57e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05240",
    "kind": "arxiv",
    "version": 1
  }
}