Pith Number

pith:Q3P7T4U4

pith:2014:Q3P7T4U4TGOJL3SIXKNFTP5MKT

not attested not anchored not stored refs pending

The Mobius disjointness conjecture for distal flows

Jianya Liu, Peter Sarnak

arxiv:1406.7243 v1 · 2014-06-27 · 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{Q3P7T4U4TGOJL3SIXKNFTP5MKT}

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	2026-05-18T02:48:53.771891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86dff9f29c999c95ee48ba9a59bfac54f2a2ef8ff31c04f5a2474fd8b9724630

Aliases

arxiv: 1406.7243 · arxiv_version: 1406.7243v1 · doi: 10.48550/arxiv.1406.7243 · pith_short_12: Q3P7T4U4TGOJ · pith_short_16: Q3P7T4U4TGOJL3SI · pith_short_8: Q3P7T4U4

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/Q3P7T4U4TGOJL3SIXKNFTP5MKT \
  | 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: 86dff9f29c999c95ee48ba9a59bfac54f2a2ef8ff31c04f5a2474fd8b9724630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49bba81349235f7a6e9b56d9f9ac0b31f5d09cb960efd26bd07d26a3f1d31501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-27T17:33:52Z",
    "title_canon_sha256": "ae5de37760b8b9713f447a53a0c6fa41899ea6bb33bec998ff3b964e80cc9cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7243",
    "kind": "arxiv",
    "version": 1
  }
}