Pith Number

pith:3J2VHJS2

pith:2025:3J2VHJS2LV3CW46JD7YESW5OWF

not attested not anchored not stored refs pending

Monotonicity and decompositions of random regular graphs

Adva Mond, Julien Portier, Lawrence Hollom, Lyuben Lichev, Yiting Wang

arxiv:2505.22875 v1 · 2025-05-28 · 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{3J2VHJS2LV3CW46JD7YESW5OWF}

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	2026-07-05T11:11:51.297923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da7553a65a5d762b73c91ff0495baeb1443961397e5087be72f27f8786960464

Aliases

arxiv: 2505.22875 · arxiv_version: 2505.22875v1 · doi: 10.48550/arxiv.2505.22875 · pith_short_12: 3J2VHJS2LV3C · pith_short_16: 3J2VHJS2LV3CW46J · pith_short_8: 3J2VHJS2

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/3J2VHJS2LV3CW46JD7YESW5OWF \
  | 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: da7553a65a5d762b73c91ff0495baeb1443961397e5087be72f27f8786960464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "762cf578a3bd48865051f6983be950eebe4695404ac5064d3153e35ede54ca81",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-28T21:17:03Z",
    "title_canon_sha256": "bc15b044877833679116a081550a2d0141f21092c982921817c3bc32777a8af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22875",
    "kind": "arxiv",
    "version": 1
  }
}