Pith Number

pith:FP4FSDEH

pith:2013:FP4FSDEHSDH4D3BVKKQ3OKU5Z3

not attested not anchored not stored refs pending

Weak mixing directions in non-arithmetic Veech surfaces

Artur Avila, Vincent Delecroix

arxiv:1304.3318 v2 · 2013-04-11 · 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{FP4FSDEHSDH4D3BVKKQ3OKU5Z3}

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	2026-05-18T01:25:31.023363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf8590c8790cfc1ec3552a1b72a9dceebd2eb1114768b0f3f45164a851458a6

Aliases

arxiv: 1304.3318 · arxiv_version: 1304.3318v2 · doi: 10.48550/arxiv.1304.3318 · pith_short_12: FP4FSDEHSDH4 · pith_short_16: FP4FSDEHSDH4D3BV · pith_short_8: FP4FSDEH

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/FP4FSDEHSDH4D3BVKKQ3OKU5Z3 \
  | 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: 2bf8590c8790cfc1ec3552a1b72a9dceebd2eb1114768b0f3f45164a851458a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06b67d8d15639f868769c4f11f10ac5590baa6d46c8deb1fa216b6ce802151d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-11T14:27:54Z",
    "title_canon_sha256": "bc6a96a26d114726149b63f48132b9124e50024b395c1d18c0587b5348f23cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3318",
    "kind": "arxiv",
    "version": 2
  }
}