Pith Number

pith:SG2FJC34

pith:2013:SG2FJC34HXRHQMOPAGR5M3AR3X

not attested not anchored not stored refs pending

Gap distribution of Farey fractions under some divisibility constraints

Byron Heersink, Florin P. Boca, Paul Spiegelhalter

arxiv:1301.0277 v2 · 2013-01-02 · 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{SG2FJC34HXRHQMOPAGR5M3AR3X}

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	2026-05-18T03:28:19.292844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b4548b7c3de27831cf01a3d66c11dde4ca386fea4016d591aaae722a8425e5

Aliases

arxiv: 1301.0277 · arxiv_version: 1301.0277v2 · doi: 10.48550/arxiv.1301.0277 · pith_short_12: SG2FJC34HXRH · pith_short_16: SG2FJC34HXRHQMOP · pith_short_8: SG2FJC34

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/SG2FJC34HXRHQMOPAGR5M3AR3X \
  | 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: 91b4548b7c3de27831cf01a3d66c11dde4ca386fea4016d591aaae722a8425e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73ecb5755fa978e8b5c2f46797fb8681a787ad3ad76ff59020fdb4a3b879aa73",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-02T17:49:26Z",
    "title_canon_sha256": "598ad21fa077f3e33ff151fb419edf99b21d10eb2c364a5de9a568fcb7f20612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0277",
    "kind": "arxiv",
    "version": 2
  }
}