Pith Number

pith:XHNJ62NY

pith:2015:XHNJ62NYLWRJ62VJUQUWKNOICV

not attested not anchored not stored refs pending

Long paths in first passage percolation on the complete graph II. Global branching dynamics

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

arxiv:1512.06145 v2 · 2015-12-18 · 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{XHNJ62NYLWRJ62VJUQUWKNOICV}

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	2026-05-18T01:23:53.677574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9da9f69b85da29f6aa9a4296535c8156026f54ad815095fd1e385fee97777ee

Aliases

arxiv: 1512.06145 · arxiv_version: 1512.06145v2 · doi: 10.48550/arxiv.1512.06145 · pith_short_12: XHNJ62NYLWRJ · pith_short_16: XHNJ62NYLWRJ62VJ · pith_short_8: XHNJ62NY

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/XHNJ62NYLWRJ62VJUQUWKNOICV \
  | 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: b9da9f69b85da29f6aa9a4296535c8156026f54ad815095fd1e385fee97777ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d876346781ef10f19dce588653a82e4d92adde84693d1a1397e1ee8321a7ea7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-18T21:31:58Z",
    "title_canon_sha256": "9f365ce3368e4aef5ddadffbfa794114b7ac87e053533db8a3367d6068d92d4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06145",
    "kind": "arxiv",
    "version": 2
  }
}