Pith Number

pith:OQOVISGS

pith:2014:OQOVISGSLSU75UUV4A7PBLNRYX

not attested not anchored not stored refs pending

On {\pi}-exponentials II : Closed formula for the index

Rodolphe Richard

arxiv:1403.0615 v1 · 2014-03-03 · 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{OQOVISGSLSU75UUV4A7PBLNRYX}

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	2026-05-18T00:43:09.881066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

741d5448d25ca9fed295e03ef0adb1c5c8a307709abf7d37b9842135cec55879

Aliases

arxiv: 1403.0615 · arxiv_version: 1403.0615v1 · doi: 10.48550/arxiv.1403.0615 · pith_short_12: OQOVISGSLSU7 · pith_short_16: OQOVISGSLSU75UUV · pith_short_8: OQOVISGS

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/OQOVISGSLSU75UUV4A7PBLNRYX \
  | 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: 741d5448d25ca9fed295e03ef0adb1c5c8a307709abf7d37b9842135cec55879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0881557bd871c536815f70f4e22b239ae56a7b52ab7fe78b6924e7d7212765bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-03T22:09:38Z",
    "title_canon_sha256": "23dbe91b99855632e2d78cfeb5886e4420f8417e18580497ef501557529713a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0615",
    "kind": "arxiv",
    "version": 1
  }
}