Pith Number

pith:JZJMAQ5E

pith:2011:JZJMAQ5EFQHYD7CJIRPNAEEUFL

not attested not anchored not stored refs pending

Diophantine approximation by orbits of Markov maps

Lingmin Liao, Stephane Seuret

arxiv:1111.1081 v1 · 2011-11-04 · math.DS · math.CA · 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{JZJMAQ5EFQHYD7CJIRPNAEEUFL}

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	2026-05-18T04:09:35.794651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e52c043a42c0f81fc49445ed010942ac68e0f8a0a093cf10a04bddb60817c1b

Aliases

arxiv: 1111.1081 · arxiv_version: 1111.1081v1 · doi: 10.48550/arxiv.1111.1081 · pith_short_12: JZJMAQ5EFQHY · pith_short_16: JZJMAQ5EFQHYD7CJ · pith_short_8: JZJMAQ5E

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/JZJMAQ5EFQHYD7CJIRPNAEEUFL \
  | 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: 4e52c043a42c0f81fc49445ed010942ac68e0f8a0a093cf10a04bddb60817c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "217453b8a7be28f19bf229cb9cdb1aa5cbdc46df24d41b2a8590ccd2c2265cd0",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-04T10:00:24Z",
    "title_canon_sha256": "540c62c45b8d8b74ba9305d840de8fb7f44203db54a34263359af650b21dee13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1081",
    "kind": "arxiv",
    "version": 1
  }
}