Pith Number

pith:ZMMZWHSY

pith:2011:ZMMZWHSYWFXDFBTZK2XADYW4JD

not attested not anchored not stored refs pending

Sequences and dynamical systems associated with canonical approximation by rationals

Andrew Haas

arxiv:1102.4600 v1 · 2011-02-22 · math.NT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMMZWHSYWFXDFBTZK2XADYW4JD}

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	2026-05-18T04:28:08.582499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb199b1e58b16e32867956ae01e2dc48f725e8889436d07fc5487969c6030492

Aliases

arxiv: 1102.4600 · arxiv_version: 1102.4600v1 · doi: 10.48550/arxiv.1102.4600 · pith_short_12: ZMMZWHSYWFXD · pith_short_16: ZMMZWHSYWFXDFBTZ · pith_short_8: ZMMZWHSY

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/ZMMZWHSYWFXDFBTZK2XADYW4JD \
  | 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: cb199b1e58b16e32867956ae01e2dc48f725e8889436d07fc5487969c6030492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea56e5a6d0cfd93874300425cc8d9ddf189d160bd6c4711a7a0c8c6d75c3462d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-22T20:21:39Z",
    "title_canon_sha256": "e1424b95689383c1a4599afc2d6c8dd86ec32c84328fb2c46107000a2d9c4620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4600",
    "kind": "arxiv",
    "version": 1
  }
}