Pith Number

pith:HRRIKHGO

pith:2014:HRRIKHGONV3DEJDGILJHYJB2T6

not attested not anchored not stored refs pending

Loop percolation on discrete half-plane

Titus Lupu

arxiv:1408.1045 v3 · 2014-08-05 · 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{HRRIKHGONV3DEJDGILJHYJB2T6}

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	2026-07-05T01:08:56.316893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c62851cce6d7632246642d27c243a9fbe8269e157cea4586458b047efad9d27

Aliases

arxiv: 1408.1045 · arxiv_version: 1408.1045v3 · doi: 10.48550/arxiv.1408.1045 · pith_short_12: HRRIKHGONV3D · pith_short_16: HRRIKHGONV3DEJDG · pith_short_8: HRRIKHGO

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/HRRIKHGONV3DEJDGILJHYJB2T6 \
  | 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: 3c62851cce6d7632246642d27c243a9fbe8269e157cea4586458b047efad9d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203baf0dd39127fd8bf3b6cf259819e2ff1ec2421b99aa4cbb68c7dd3b66950b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-08-05T17:33:02Z",
    "title_canon_sha256": "97b63a1a87f5fc3a59e40c5e411fc20cb56fe440a2664c34abc0757d09414f4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.1045",
    "kind": "arxiv",
    "version": 3
  }
}