Pith Number

pith:F3PFIPYU

pith:2018:F3PFIPYUMKJ4IBKYCOOFTTBNXO

not attested not anchored not stored refs pending

On periods: from global to local

Lucian M. Ionescu

arxiv:1806.08726 v1 · 2018-06-21 · 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{F3PFIPYUMKJ4IBKYCOOFTTBNXO}

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	2026-05-18T00:12:36.325613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ede543f146293c40558139c59cc2dbb9196ba074d32e7a9a341acbd9eec7852

Aliases

arxiv: 1806.08726 · arxiv_version: 1806.08726v1 · doi: 10.48550/arxiv.1806.08726 · pith_short_12: F3PFIPYUMKJ4 · pith_short_16: F3PFIPYUMKJ4IBKY · pith_short_8: F3PFIPYU

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/F3PFIPYUMKJ4IBKYCOOFTTBNXO \
  | 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: 2ede543f146293c40558139c59cc2dbb9196ba074d32e7a9a341acbd9eec7852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a33edde7269d1a3f04abcbbc7ccaba95e20ecfbbc4c556b798a28d6bf335a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-06-21T17:24:28Z",
    "title_canon_sha256": "bc4af1a30e88e01f64f99a5833f03ff506d514840d43ade419cc26e96ae264bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08726",
    "kind": "arxiv",
    "version": 1
  }
}