Pith Number

pith:PU24DDSF

pith:2023:PU24DDSF33DTV37XD5EF36L6VP

not attested not anchored not stored refs pending

A dynamical approach to spanning and surplus edges of random graphs

Josu\'e Corujo, Vlada Limic

arxiv:2305.04716 v2 · 2023-05-08 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PU24DDSF33DTV37XD5EF36L6VP}

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

The number of connected components in sub-critical random graph processes

Receipt and verification

First computed	2026-07-05T07:10:24.489119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d35c18e45dec73aeff71f485df97eabfcb4c3bc0b6e462163b1d1562c1ac8f4

Aliases

arxiv: 2305.04716 · arxiv_version: 2305.04716v2 · doi: 10.48550/arxiv.2305.04716 · pith_short_12: PU24DDSF33DT · pith_short_16: PU24DDSF33DTV37X · pith_short_8: PU24DDSF

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/PU24DDSF33DTV37XD5EF36L6VP \
  | 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: 7d35c18e45dec73aeff71f485df97eabfcb4c3bc0b6e462163b1d1562c1ac8f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf14307fddf80811887b12ceab2675180dadcbfa48745f1521db1a8364b886a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-05-08T14:02:06Z",
    "title_canon_sha256": "2ed9e0caddf82ee219a95e5a337d500f4ec09167b37ae2492dd0cf23a418d310"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.04716",
    "kind": "arxiv",
    "version": 2
  }
}