Pith Number

pith:KQRPGHOC

pith:2016:KQRPGHOCTDPC5F2ENYYWZY66PS

not attested not anchored not stored refs pending

Probabilistic Consequences of Some Polynomial Recurrences

Amanda Lohss, Pawel Hitczenko

arxiv:1604.03164 v3 · 2016-04-11 · math.CO · 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{KQRPGHOCTDPC5F2ENYYWZY66PS}

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	2026-05-18T01:15:13.558701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5422f31dc298de2e97446e316ce3de7c8b370807a2974e39de6c57ee367b3569

Aliases

arxiv: 1604.03164 · arxiv_version: 1604.03164v3 · doi: 10.48550/arxiv.1604.03164 · pith_short_12: KQRPGHOCTDPC · pith_short_16: KQRPGHOCTDPC5F2E · pith_short_8: KQRPGHOC

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/KQRPGHOCTDPC5F2ENYYWZY66PS \
  | 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: 5422f31dc298de2e97446e316ce3de7c8b370807a2974e39de6c57ee367b3569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7175b95455773a45b2b6a50078281306b831b6ee29e45e59e3b2b686d754df8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-11T22:02:11Z",
    "title_canon_sha256": "1ae6d33a9fe28e6f4f8362ef7475eab3782c2fbe82b1315fd384d67f31740e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03164",
    "kind": "arxiv",
    "version": 3
  }
}