Pith Number

pith:NQJZQVIL

pith:2018:NQJZQVILWZKINQA3KV6EXCQXP6

not attested not anchored not stored refs pending

Decoupling inequalities and supercritical percolation for the vacant set of random walk loop soup

Artem Sapozhnikov, Caio Alves

arxiv:1808.01277 v2 · 2018-08-03 · 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{NQJZQVILWZKINQA3KV6EXCQXP6}

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.

Cited by

1 paper in Pith

A Liouville principle for the random conductance model under degenerate conditions

Receipt and verification

First computed	2026-07-05T00:06:29.822395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c1398550bb65486c01b557c4b8a177fb6ce3d6db02d60dcb67cbc2e167f379d

Aliases

arxiv: 1808.01277 · arxiv_version: 1808.01277v2 · doi: 10.48550/arxiv.1808.01277 · pith_short_12: NQJZQVILWZKI · pith_short_16: NQJZQVILWZKINQA3 · pith_short_8: NQJZQVIL

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/NQJZQVILWZKINQA3KV6EXCQXP6 \
  | 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: 6c1398550bb65486c01b557c4b8a177fb6ce3d6db02d60dcb67cbc2e167f379d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c056adeb1a5954c8f6dbde108d0f29d90bb1e7725f209cfed4e6f7cdccaed25f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-03T17:57:27Z",
    "title_canon_sha256": "d47c5656525c50e0f5f94bb5064a4128257cbac98b26225b9cdd6f25534cc3eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.01277",
    "kind": "arxiv",
    "version": 2
  }
}