Pith Number

pith:4KYRGUGR

pith:2014:4KYRGUGRTZDNBDZ6OXAKOVDNDZ

not attested not anchored not stored refs pending

From loop clusters and random interlacement to the free field

Titus Lupu (LM-Orsay)

arxiv:1402.0298 v7 · 2014-02-03 · 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{4KYRGUGRTZDNBDZ6OXAKOVDNDZ}

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

(Non-)coincidence of critical parameters for Poisson Zoos and Loop Soup Percolation on $\mathbb{Z^d}$, $d > 4$, and $\mathbb{T}_d$,$ d \ge 3$

Receipt and verification

First computed	2026-07-05T01:17:36.319847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b11350d19e46d08f3e75c0a7546d1e78a6497a55ef3b364c3a454c09c6b6a5

Aliases

arxiv: 1402.0298 · arxiv_version: 1402.0298v7 · doi: 10.48550/arxiv.1402.0298 · pith_short_12: 4KYRGUGRTZDN · pith_short_16: 4KYRGUGRTZDNBDZ6 · pith_short_8: 4KYRGUGR

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/4KYRGUGRTZDNBDZ6OXAKOVDNDZ \
  | 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: e2b11350d19e46d08f3e75c0a7546d1e78a6497a55ef3b364c3a454c09c6b6a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06e980ce69d80af6d2f02195413517c17b84a137ca93a92cdb6f6372ef36d5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-03T07:39:16Z",
    "title_canon_sha256": "201094fe1d1d9a456d3adcf9416b3af983381d75bb57d7681cce5d227647101d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0298",
    "kind": "arxiv",
    "version": 7
  }
}