Pith Number

pith:Y5ZEMQVM

pith:2018:Y5ZEMQVME6KAEZQEMQFNZ2FH33

not attested not anchored not stored refs pending

On the number of maximal paths in directed last-passage percolation

Fedor Nazarov, Harry Kesten, Hugo Duminil-Copin, Vladas Sidoravicius, Yuval Peres

arxiv:1801.05777 v1 · 2018-01-17 · 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{Y5ZEMQVME6KAEZQEMQFNZ2FH33}

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	2026-05-18T00:25:40.205655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7724642ac2794026604640adce8a7dec3988bcf7670cab1b51d4cb0011e88e3

Aliases

arxiv: 1801.05777 · arxiv_version: 1801.05777v1 · doi: 10.48550/arxiv.1801.05777 · pith_short_12: Y5ZEMQVME6KA · pith_short_16: Y5ZEMQVME6KAEZQE · pith_short_8: Y5ZEMQVM

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/Y5ZEMQVME6KAEZQEMQFNZ2FH33 \
  | 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: c7724642ac2794026604640adce8a7dec3988bcf7670cab1b51d4cb0011e88e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85852617b6e0c09eeec63d9e218b8e9db875348a83e3a3ac53040d7b28fda095",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-01-17T18:01:00Z",
    "title_canon_sha256": "59c9c1fce18bd7d6af36e5921daf9d4e757e28546c30b4086164c9fe111b9c9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05777",
    "kind": "arxiv",
    "version": 1
  }
}