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Pith Number

pith:HJLLRAJ6

pith:2015:HJLLRAJ6QPKVY5GJ44TNAHORXB
not attested not anchored not stored refs pending

Long paths in first passage percolation on the complete graph I. Local PWIT dynamics

F. R. Nardi, J. Goodman, M. Eckhoff, R. van der Hofstad

arxiv:1512.06152 v2 · 2015-12-18 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HJLLRAJ6QPKVY5GJ44TNAHORXB}

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 2026-05-18T01:23:53.669613Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3a56b8813e83d55c74c9e726d01dd1b85110112bf0c644388e196c8ef20f7cb3

Aliases

arxiv: 1512.06152 · arxiv_version: 1512.06152v2 · doi: 10.48550/arxiv.1512.06152 · pith_short_12: HJLLRAJ6QPKV · pith_short_16: HJLLRAJ6QPKVY5GJ · pith_short_8: HJLLRAJ6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HJLLRAJ6QPKVY5GJ44TNAHORXB \
  | 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: 3a56b8813e83d55c74c9e726d01dd1b85110112bf0c644388e196c8ef20f7cb3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9b75fa81ec8ab6519376d8ded6fbbce53d2dcc7cb118027f47ea7695c9e5314a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-18T21:42:43Z",
    "title_canon_sha256": "616e5094afc066d2a35e32975d471eceb483d93994e58161658a9e83d40f2eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06152",
    "kind": "arxiv",
    "version": 2
  }
}