Pith Number

pith:N7BGUES4

pith:2017:N7BGUES4YB6JEBBZBR55KJIHI3

not attested not anchored not stored refs pending

A geometrical proof of sum of $\cos n\varphi$

L\'aszl\'o N\'emeth

arxiv:1701.07066 v1 · 2017-01-24 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N7BGUES4YB6JEBBZBR55KJIHI3}

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	2026-05-18T00:48:36.789197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fc26a125cc07c9204390c7bd5250746c8194ff845b5a4bc09e4e463d2e79a16

Aliases

arxiv: 1701.07066 · arxiv_version: 1701.07066v1 · doi: 10.48550/arxiv.1701.07066 · pith_short_12: N7BGUES4YB6J · pith_short_16: N7BGUES4YB6JEBBZ · pith_short_8: N7BGUES4

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/N7BGUES4YB6JEBBZBR55KJIHI3 \
  | 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: 6fc26a125cc07c9204390c7bd5250746c8194ff845b5a4bc09e4e463d2e79a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339232c4bb16a33cd4689f80bd1a35f97fb12bc1da57eb78a5e62f21ba0f09dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-01-24T20:02:53Z",
    "title_canon_sha256": "f7a5799cf7127333e85e69a3c61f97d4cab101fcd8d4f0e9fb10ae70d653b933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07066",
    "kind": "arxiv",
    "version": 1
  }
}