Pith Number

pith:OD7QXZZN

pith:2023:OD7QXZZNN3SY3MUZXA5XN2CVGX

not attested not anchored not stored refs pending

Random minimum spanning tree and dense graph limits

Gopal Viswanathan, Jan Hladk\'y

arxiv:2310.11705 v3 · 2023-10-18 · math.CO · 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{OD7QXZZNN3SY3MUZXA5XN2CVGX}

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

Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs

Receipt and verification

First computed	2026-07-05T10:47:24.206124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70ff0be72d6ee58db299b83b76e85535dd615cb253938eeef5f3c627c1913966

Aliases

arxiv: 2310.11705 · arxiv_version: 2310.11705v3 · doi: 10.48550/arxiv.2310.11705 · pith_short_12: OD7QXZZNN3SY · pith_short_16: OD7QXZZNN3SY3MUZ · pith_short_8: OD7QXZZN

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/OD7QXZZNN3SY3MUZXA5XN2CVGX \
  | 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: 70ff0be72d6ee58db299b83b76e85535dd615cb253938eeef5f3c627c1913966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "983b62a48491cad9f211d8ab6a4106dd6ec099a5b8c0941babdd8400e577738d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-10-18T04:35:23Z",
    "title_canon_sha256": "8f81c4f47da487e4dd203a83e47ca29fcf63ef94d33da85f699da66f808e96a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.11705",
    "kind": "arxiv",
    "version": 3
  }
}