Pith Number

pith:XFLWSWHZ

pith:2015:XFLWSWHZADPJ2UJEP22WHEL3DB

not attested not anchored not stored refs pending

Weighted multiple ergodic averages and correlation sequences

Bernard Host, Nikos Frantzikinakis

arxiv:1511.05945 v3 · 2015-11-18 · math.DS · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFLWSWHZADPJ2UJEP22WHEL3DB}

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	2026-05-18T01:11:13.174901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9576958f900de9d51247eb563917b1852066500a5e67baed93e67e2e33c4bce

Aliases

arxiv: 1511.05945 · arxiv_version: 1511.05945v3 · doi: 10.48550/arxiv.1511.05945 · pith_short_12: XFLWSWHZADPJ · pith_short_16: XFLWSWHZADPJ2UJE · pith_short_8: XFLWSWHZ

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/XFLWSWHZADPJ2UJEP22WHEL3DB \
  | 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: b9576958f900de9d51247eb563917b1852066500a5e67baed93e67e2e33c4bce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eea9aca0d62bcd0ba1c3fc754de8681c579fa2c4339e57ab21abad75116baa1e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-18T20:50:43Z",
    "title_canon_sha256": "b84e383967aa238c523a65432227755a932b9d1a785b93fff7e0cce264db5138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05945",
    "kind": "arxiv",
    "version": 3
  }
}