Pith Number

pith:CSGMA4GD

pith:2012:CSGMA4GDHP7EWD7ARKMJATXLOO

not attested not anchored not stored refs pending

Observationes generales circa series, quarum termini secundum sinus vel cosinus angulorum multiplorum progrediuntur

Alexander Aycock, Artur Diener, Leonhard Euler

arxiv:1202.0020 v1 · 2012-01-31 · 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{CSGMA4GDHP7EWD7ARKMJATXLOO}

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	2026-05-18T04:03:20.754481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

148cc070c33bfe4b0fe08a98904eeb73bf733eb906171c79727d678101b0f289

Aliases

arxiv: 1202.0020 · arxiv_version: 1202.0020v1 · doi: 10.48550/arxiv.1202.0020 · pith_short_12: CSGMA4GDHP7E · pith_short_16: CSGMA4GDHP7EWD7A · pith_short_8: CSGMA4GD

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/CSGMA4GDHP7EWD7ARKMJATXLOO \
  | 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: 148cc070c33bfe4b0fe08a98904eeb73bf733eb906171c79727d678101b0f289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e598306e4b7b88c81d6d5d38b010abe3d9342063296e11e67b022d0e9e7f4f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-01-31T21:09:54Z",
    "title_canon_sha256": "e4859d988b4559cc6322f643733d63efe85c9db1f6af8616c900dfaaa90b2612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0020",
    "kind": "arxiv",
    "version": 1
  }
}