Pith Number

pith:Z3KQYI6L

pith:2016:Z3KQYI6LEMTT4WY6ZXMRYO2R4M

not attested not anchored not stored refs pending

Lower bounds for moments of global scores of pairwise Markov chains

Fabio Zucca, Heinrich Matzinger, Joonas Sova, J\"uri Lember

arxiv:1602.05560 v2 · 2016-02-17 · 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{Z3KQYI6LEMTT4WY6ZXMRYO2R4M}

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	2026-05-18T01:20:23.750421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced50c23cb23273e5b1ecdd91c3b51e3038aff251cc9a472ba276c245f15d4b9

Aliases

arxiv: 1602.05560 · arxiv_version: 1602.05560v2 · doi: 10.48550/arxiv.1602.05560 · pith_short_12: Z3KQYI6LEMTT · pith_short_16: Z3KQYI6LEMTT4WY6 · pith_short_8: Z3KQYI6L

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/Z3KQYI6LEMTT4WY6ZXMRYO2R4M \
  | 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: ced50c23cb23273e5b1ecdd91c3b51e3038aff251cc9a472ba276c245f15d4b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c74979579fcd42b8578e036381072671895dbad0882353bdb43169d3ba8a358a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-02-17T20:23:43Z",
    "title_canon_sha256": "f4ac3e5558a5003a5b3330a0ee6ed24d160c660a58bbddb3ce98b4f054dbe856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05560",
    "kind": "arxiv",
    "version": 2
  }
}