Pith Number

pith:V65Y7J4I

pith:2016:V65Y7J4IMKSE4RVDHPLJCSZF7Y

not attested not anchored not stored refs pending

On Densities for Solutions to Stochastic Fixed Point Equations

Kevin Leckey

arxiv:1604.05787 v4 · 2016-04-20 · 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{V65Y7J4IMKSE4RVDHPLJCSZF7Y}

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	2026-05-18T00:21:51.584264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afbb8fa78862a44e46a33bd6914b25fe143fdc0d63e0b17a956c4b724d3f36ad

Aliases

arxiv: 1604.05787 · arxiv_version: 1604.05787v4 · doi: 10.48550/arxiv.1604.05787 · pith_short_12: V65Y7J4IMKSE · pith_short_16: V65Y7J4IMKSE4RVD · pith_short_8: V65Y7J4I

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/V65Y7J4IMKSE4RVDHPLJCSZF7Y \
  | 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: afbb8fa78862a44e46a33bd6914b25fe143fdc0d63e0b17a956c4b724d3f36ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdccf25cc9be5877aa1e6ac7d1c11bcbb0229b1e920ec14bde7c0f0bbfe4792",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-20T02:02:12Z",
    "title_canon_sha256": "294e44dc02c0e9fc1eb0bd8f61d22f63142410be34e7a0851830f55cb908331f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05787",
    "kind": "arxiv",
    "version": 4
  }
}