Pith Number

pith:ZLCMSK6J

pith:2019:ZLCMSK6J6EDF266XI232N52HE3

not attested not anchored not stored refs pending

A new trigonometric identity with applications

Hao Pan, Zhi-Wei Sun

arxiv:1907.08118 v3 · 2019-07-18 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLCMSK6J6EDF266XI232N52HE3}

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	2026-07-05T09:16:42.408762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cac4c92bc9f1065d7bd746b7a6f74726cc6aeb9700c19c64f64fa08c53134ce5

Aliases

arxiv: 1907.08118 · arxiv_version: 1907.08118v3 · doi: 10.48550/arxiv.1907.08118 · pith_short_12: ZLCMSK6J6EDF · pith_short_16: ZLCMSK6J6EDF266X · pith_short_8: ZLCMSK6J

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/ZLCMSK6J6EDF266XI232N52HE3 \
  | 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: cac4c92bc9f1065d7bd746b7a6f74726cc6aeb9700c19c64f64fa08c53134ce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "673a5df1063be8a6d472b574854064d639fd12a528b5fa7d765249d1595d9b46",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-18T15:47:27Z",
    "title_canon_sha256": "7645fc4d236165c93af75468895057fe194a0c79fbb6dbe2d263f02f03c5e191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08118",
    "kind": "arxiv",
    "version": 3
  }
}