Pith Number

pith:KLGDV6RO

pith:2019:KLGDV6ROTPL3WTDSGFRWLXH7BG

not attested not anchored not stored refs pending

Some inequalities for reversible Markov chains and branching random walks via spectral optimization

Jonathan Hermon

arxiv:1908.08525 v4 · 2019-08-22 · 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{KLGDV6ROTPL3WTDSGFRWLXH7BG}

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	2026-07-05T04:01:29.165309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cc3afa2e9bd7bb4c72316365dcff098c86eabd5f74e57a7de279f644497ebf

Aliases

arxiv: 1908.08525 · arxiv_version: 1908.08525v4 · doi: 10.48550/arxiv.1908.08525 · pith_short_12: KLGDV6ROTPL3 · pith_short_16: KLGDV6ROTPL3WTDS · pith_short_8: KLGDV6RO

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/KLGDV6ROTPL3WTDSGFRWLXH7BG \
  | 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: 52cc3afa2e9bd7bb4c72316365dcff098c86eabd5f74e57a7de279f644497ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8506fd728cd32afef9c7225e2805fa28425ff54fd5717c8ee3dafcf78d853a49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-22T17:57:12Z",
    "title_canon_sha256": "fa3b3d03cc9724e13e85e700d6d0cbeefb30f11ac19d0435ec7dd397b0dc25d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08525",
    "kind": "arxiv",
    "version": 4
  }
}