Pith Number

pith:KFBQZYS3

pith:2005:KFBQZYS3PLYBX6HE7CL3PT3KMC

not attested not anchored not stored refs pending

Logarithmic asymptotics for the number of periodic orbits of the Teichmueller flow on Veech's space of zippered rectangles

Alexander I. Bufetov

arxiv:math/0511035 v2 · 2005-11-02 · math.DS · 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{KFBQZYS3PLYBX6HE7CL3PT3KMC}

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	2026-05-18T02:46:31.853133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51430ce25b7af01bf8e4f897b7cf6a6093a594d511c4b345258e8238904aea2b

Aliases

arxiv: math/0511035 · arxiv_version: math/0511035v2 · doi: 10.48550/arxiv.math/0511035 · pith_short_12: KFBQZYS3PLYB · pith_short_16: KFBQZYS3PLYBX6HE · pith_short_8: KFBQZYS3

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/KFBQZYS3PLYBX6HE7CL3PT3KMC \
  | 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: 51430ce25b7af01bf8e4f897b7cf6a6093a594d511c4b345258e8238904aea2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff248555eb2c0c58ab3e8534a183a60c9ef7d444f1dea2f4fb1ceecc51cd642",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2005-11-02T02:47:18Z",
    "title_canon_sha256": "c0cf282bd2247c4b7cbf4cfdee2abf23ee89731e02cad78451c20a7e6276b3ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511035",
    "kind": "arxiv",
    "version": 2
  }
}