Pith Number

pith:PXTCP2Y7

pith:2019:PXTCP2Y764DPBHH33LEM3IRZKL

not attested not anchored not stored refs pending

Lace Expansion and Mean-Field Behavior for the Random Connection Model

G\"unter Last, Kilian Matzke, Markus Heydenreich, Remco van der Hofstad

arxiv:1908.11356 v4 · 2019-08-29 · 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{PXTCP2Y764DPBHH33LEM3IRZKL}

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

Poisson approximation of large-lifetime cycles

Receipt and verification

First computed	2026-07-05T07:25:35.261886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7de627eb1ff706f09cfbdac8cda23952d378000c69ba0ec9f08826d4279e11f9

Aliases

arxiv: 1908.11356 · arxiv_version: 1908.11356v4 · doi: 10.48550/arxiv.1908.11356 · pith_short_12: PXTCP2Y764DP · pith_short_16: PXTCP2Y764DPBHH3 · pith_short_8: PXTCP2Y7

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/PXTCP2Y764DPBHH33LEM3IRZKL \
  | 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: 7de627eb1ff706f09cfbdac8cda23952d378000c69ba0ec9f08826d4279e11f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6812d6f78b24d8ae9c6372eb228ce0106f20dc9de056b9d79ddae795698683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-29T17:20:56Z",
    "title_canon_sha256": "8fa882dd9559401cc4a879a78a695a395e7c0d627cf10c625d7c6cc5a0905e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.11356",
    "kind": "arxiv",
    "version": 4
  }
}