Pith Number

pith:DRFCFAYJ

pith:2014:DRFCFAYJTMM2A7S6IQV6TB24OD

not attested not anchored not stored refs pending

Joint ergodicity along generalized linear functions

Alexander Leibman, Vitaly Bergelson, Younghwan Son

arxiv:1409.7151 v1 · 2014-09-25 · 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{DRFCFAYJTMM2A7S6IQV6TB24OD}

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	2026-05-18T02:41:59.037234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4a2283099b19a07e5e442be9875c70c19f5a241cc72fb7e18da3aad0885452

Aliases

arxiv: 1409.7151 · arxiv_version: 1409.7151v1 · doi: 10.48550/arxiv.1409.7151 · pith_short_12: DRFCFAYJTMM2 · pith_short_16: DRFCFAYJTMM2A7S6 · pith_short_8: DRFCFAYJ

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/DRFCFAYJTMM2A7S6IQV6TB24OD \
  | 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: 1c4a2283099b19a07e5e442be9875c70c19f5a241cc72fb7e18da3aad0885452

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c6fdae71b3d34f6eadbd893c3d572e6ceee5d3599453603b9dc0ecc21afc928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-25T04:24:43Z",
    "title_canon_sha256": "0a1a2a57177bb255b9a1e672834d1ab230de66e75a3bda1cc0da613c96aa3757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7151",
    "kind": "arxiv",
    "version": 1
  }
}