Pith Number

pith:LPSZSZKH

pith:2014:LPSZSZKHEEQTHABLKD7KI7JZ2A

not attested not anchored not stored refs pending

First passage percolation on nilpotent Cayley graphs and beyond

Itai Benjamini, Romain Tessera

arxiv:1410.3292 v3 · 2014-10-13 · 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{LPSZSZKHEEQTHABLKD7KI7JZ2A}

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	2026-05-18T02:14:17.539385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5be5996547212133802b50fea47d39d00226345e9863a7f0e14402ad8d38cb5e

Aliases

arxiv: 1410.3292 · arxiv_version: 1410.3292v3 · doi: 10.48550/arxiv.1410.3292 · pith_short_12: LPSZSZKHEEQT · pith_short_16: LPSZSZKHEEQTHABL · pith_short_8: LPSZSZKH

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/LPSZSZKHEEQTHABLKD7KI7JZ2A \
  | 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: 5be5996547212133802b50fea47d39d00226345e9863a7f0e14402ad8d38cb5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9212f69a06e7c5f8340c184e5f78989c97d1c4741881a2c7b45c3ae4a03dabcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-10-13T13:02:43Z",
    "title_canon_sha256": "9a72108d84c9386deaa01143bc7f35dd7d21be5c4baf16cae7ab384ce7706241"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3292",
    "kind": "arxiv",
    "version": 3
  }
}