Pith Number

pith:MJLCOTG3

pith:2023:MJLCOTG3JOUZ5ARWWQUZ5463TM

not attested not anchored not stored refs pending

Spanning trees in pseudorandom graphs via sorting networks

Alp M\"uyesser, Joseph Hyde, Mat\'ias Pavez-Sign\'e, Natasha Morrison

arxiv:2311.03185 v1 · 2023-11-06 · 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{MJLCOTG3JOUZ5ARWWQUZ5463TM}

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

Embedding edge-colored graphs in expanders with roll-back

Receipt and verification

First computed	2026-07-05T07:09:37.610798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6256274cdb4ba99e8236b4299ef3db9b33bcfd19c1220019e3cef9aecb150030

Aliases

arxiv: 2311.03185 · arxiv_version: 2311.03185v1 · doi: 10.48550/arxiv.2311.03185 · pith_short_12: MJLCOTG3JOUZ · pith_short_16: MJLCOTG3JOUZ5ARW · pith_short_8: MJLCOTG3

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/MJLCOTG3JOUZ5ARWWQUZ5463TM \
  | 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: 6256274cdb4ba99e8236b4299ef3db9b33bcfd19c1220019e3cef9aecb150030

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18335531afd23744cfa2081270ac3cceb79caca962a9b4540a77aee836eaf5db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-06T15:25:13Z",
    "title_canon_sha256": "770c0e3ff2dfff72f41876a3bb6275c294fabc904d60d2bce7e33995f4ae7c36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.03185",
    "kind": "arxiv",
    "version": 1
  }
}