Pith Number

pith:F43SARAZ

pith:2016:F43SARAZXG4Y4HDXIYXXXYKQUI

not attested not anchored not stored refs pending

Almost periodic functions and hyperbolic counting

Giacomo Cherubini

arxiv:1610.05928 v2 · 2016-10-19 · 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{F43SARAZXG4Y4HDXIYXXXYKQUI}

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	2026-05-18T00:00:09.474147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f37204419b9b98e1c77462f7be150a22b2d89f369cf8fe33a046246581fba03

Aliases

arxiv: 1610.05928 · arxiv_version: 1610.05928v2 · doi: 10.48550/arxiv.1610.05928 · pith_short_12: F43SARAZXG4Y · pith_short_16: F43SARAZXG4Y4HDX · pith_short_8: F43SARAZ

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/F43SARAZXG4Y4HDXIYXXXYKQUI \
  | 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: 2f37204419b9b98e1c77462f7be150a22b2d89f369cf8fe33a046246581fba03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203e50af9d642fe8d92d2337eeaa52399ceed9fd04cdd54966f2180cd1d8d183",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-19T09:30:58Z",
    "title_canon_sha256": "b7c66f358a3cf4b33b80d553a737fe93a41677bf9184b814b3e6d67e8b8b6aa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05928",
    "kind": "arxiv",
    "version": 2
  }
}