Pith Number

pith:FTHO3PXT

pith:2017:FTHO3PXTF2XGOTD4HMQ6K7XOLT

not attested not anchored not stored refs pending

Partitions of unity in $\mathrm{SL}(2,\mathbb Z)$, negative continued fractions, and dissections of polygons

Valentin Ovsienko

arxiv:1710.02996 v5 · 2017-10-09 · math.CO · 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{FTHO3PXTF2XGOTD4HMQ6K7XOLT}

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	2026-05-18T00:15:30.514021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cceedbef32eae674c7c3b21e57eee5cd97c94ed9f1343d1ee57258d02f0d8f1

Aliases

arxiv: 1710.02996 · arxiv_version: 1710.02996v5 · doi: 10.48550/arxiv.1710.02996 · pith_short_12: FTHO3PXTF2XG · pith_short_16: FTHO3PXTF2XGOTD4 · pith_short_8: FTHO3PXT

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/FTHO3PXTF2XGOTD4HMQ6K7XOLT \
  | 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: 2cceedbef32eae674c7c3b21e57eee5cd97c94ed9f1343d1ee57258d02f0d8f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6da5ac563c77b10d166c93bbf09fe49188889d0d1c5619e21867dbed1e8a09fc",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-09T08:59:11Z",
    "title_canon_sha256": "3659021fdb99bf48d66330222d9234affabebf313765263fa3d8c6329bd99b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02996",
    "kind": "arxiv",
    "version": 5
  }
}