Pith Number

pith:263ODUQG

pith:2017:263ODUQGDZ2O6AI7QFIIQTVVXH

not attested not anchored not stored refs pending

Distribution of the periodic points of the Farey map

Byron Heersink

arxiv:1704.08971 v2 · 2017-04-28 · math.DS · 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{263ODUQGDZ2O6AI7QFIIQTVVXH}

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	2026-05-18T00:08:55.355187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7b6e1d2061e74ef011f8150884eb5b9c83c6123cd45a9e3d1cda0c77249f9f9

Aliases

arxiv: 1704.08971 · arxiv_version: 1704.08971v2 · doi: 10.48550/arxiv.1704.08971 · pith_short_12: 263ODUQGDZ2O · pith_short_16: 263ODUQGDZ2O6AI7 · pith_short_8: 263ODUQG

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/263ODUQGDZ2O6AI7QFIIQTVVXH \
  | 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: d7b6e1d2061e74ef011f8150884eb5b9c83c6123cd45a9e3d1cda0c77249f9f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26c4b8154903ef1c1cf1ca6c66eb6719f708c73989260d9b52b523a0e6204a69",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-04-28T15:14:10Z",
    "title_canon_sha256": "0652a672417143ce64907522936c7f584cdaeb385906ff90522ad13cedb63e99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08971",
    "kind": "arxiv",
    "version": 2
  }
}