Pith Number

pith:4UIY5Z7F

pith:2023:4UIY5Z7FP4A3P35WWAC33XO2GM

not attested not anchored not stored refs pending

Meeting, coalescence and consensus time on random directed graphs

Federico Capannoli, Luca Avena, Matteo Quattropani, Rajat Subhra Hazra

arxiv:2308.01832 v2 · 2023-08-03 · 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{4UIY5Z7FP4A3P35WWAC33XO2GM}

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	2026-07-05T08:35:36.062053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5118ee7e57f01b7efb6b005bdddda332f5fbbfa584f1bedf21e5d4e8cd601d6

Aliases

arxiv: 2308.01832 · arxiv_version: 2308.01832v2 · doi: 10.48550/arxiv.2308.01832 · pith_short_12: 4UIY5Z7FP4A3 · pith_short_16: 4UIY5Z7FP4A3P35W · pith_short_8: 4UIY5Z7F

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/4UIY5Z7FP4A3P35WWAC33XO2GM \
  | 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: e5118ee7e57f01b7efb6b005bdddda332f5fbbfa584f1bedf21e5d4e8cd601d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad749305a80a9668c901cf48feeefbd77f6e6f4899cecbaf332133d4767ce72",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-08-03T15:47:43Z",
    "title_canon_sha256": "82d0d18bc37c2a9d4895644b2b6e3e8cb77ee19febdc7c87c5123deb74ffffed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.01832",
    "kind": "arxiv",
    "version": 2
  }
}