Pith Number

pith:7TV7AV2Z

pith:2012:7TV7AV2ZUJULHIFUUCPEWGDTYW

not attested not anchored not stored refs pending

Cubic Irrationals and Periodicity via a Family of Multi-dimensional Continued Fraction Algorithms

Chansoo Lee, Cornelia Mihaila, Krishna Dasaratha, Laure Flapan, Matthew Stoffregen, Nicholas Neumann-Chun, Sarah Peluse, Thomas Garrity

arxiv:1208.4244 v5 · 2012-08-21 · 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{7TV7AV2ZUJULHIFUUCPEWGDTYW}

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	2026-05-18T02:53:15.575653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcebf05759a268b3a0b4a09e4b1873c5876d17ceee12f55581282702f1b12a5b

Aliases

arxiv: 1208.4244 · arxiv_version: 1208.4244v5 · doi: 10.48550/arxiv.1208.4244 · pith_short_12: 7TV7AV2ZUJUL · pith_short_16: 7TV7AV2ZUJULHIFU · pith_short_8: 7TV7AV2Z

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/7TV7AV2ZUJULHIFUUCPEWGDTYW \
  | 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: fcebf05759a268b3a0b4a09e4b1873c5876d17ceee12f55581282702f1b12a5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2331758cac0ad6c2d9dd7b41840be4a6b2379e545fface61ce9f80c82c253f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-21T12:15:24Z",
    "title_canon_sha256": "ea22be746c11fdc04607900932b3c6ab416505133bcc29b2e08fc7a4511aa365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4244",
    "kind": "arxiv",
    "version": 5
  }
}