Pith Number

pith:EE4WCJFL

pith:2007:EE4WCJFLTEV5DAUXIE4OMYPXG4

not attested not anchored not stored refs pending

Dynamical Diophantine Approximation

Ai-Hua Fan (LAMFA), FRUMAM, IML), Joerg Schmeling, Serge Troubetzkoy (CPT

arxiv:0705.4203 v1 · 2007-05-29 · math.DS · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EE4WCJFLTEV5DAUXIE4OMYPXG4}

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	2026-05-18T02:55:48.826771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21396124ab992bd182974138e661f7371c25c2bb27e6a9433ef1ff4f953371e4

Aliases

arxiv: 0705.4203 · arxiv_version: 0705.4203v1 · doi: 10.48550/arxiv.0705.4203 · pith_short_12: EE4WCJFLTEV5 · pith_short_16: EE4WCJFLTEV5DAUX · pith_short_8: EE4WCJFL

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/EE4WCJFLTEV5DAUXIE4OMYPXG4 \
  | 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: 21396124ab992bd182974138e661f7371c25c2bb27e6a9433ef1ff4f953371e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf7e8834e684a643fd824630d6ff1d99c12725f2a038f58d33057ddfd6d27a4",
    "cross_cats_sorted": [
      "math.NT",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2007-05-29T12:17:27Z",
    "title_canon_sha256": "2ef7665d7cdb04d9e1dac37bab311ea37887d47f27e5525af039b95496af65be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.4203",
    "kind": "arxiv",
    "version": 1
  }
}