Pith Number

pith:BGY7YSXN

pith:2014:BGY7YSXNMCYKJYH53VZLVVUW2V

not attested not anchored not stored refs pending

Writing pi as sum of arctangents with linear recurrent sequences, Golden mean and Lucas numbers

Marco Abrate, Nadir Murru, Stefano Barbero, Umberto Cerruti

arxiv:1409.6455 v1 · 2014-09-23 · 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{BGY7YSXNMCYKJYH53VZLVVUW2V}

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	2026-05-18T02:42:07.094570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b1fc4aed60b0a4e0fddd72bad696d56db39d752b52898ee9af2b9dfa5d628e

Aliases

arxiv: 1409.6455 · arxiv_version: 1409.6455v1 · doi: 10.48550/arxiv.1409.6455 · pith_short_12: BGY7YSXNMCYK · pith_short_16: BGY7YSXNMCYKJYH5 · pith_short_8: BGY7YSXN

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/BGY7YSXNMCYKJYH53VZLVVUW2V \
  | 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: 09b1fc4aed60b0a4e0fddd72bad696d56db39d752b52898ee9af2b9dfa5d628e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688dec8c6b33f304709237adf1d5eaa34f224304762b6f2bbc2423a26a6ef154",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-23T09:31:34Z",
    "title_canon_sha256": "40d21b7579a6be04f3f0fed1f3f0f07aa2987aacdee6b2e8f8bc000f79f93043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6455",
    "kind": "arxiv",
    "version": 1
  }
}