Pith Number

pith:LQFHD364

pith:2026:LQFHD364MQVOOKVN54RTTJM2CY

not attested not anchored not stored refs pending

Majority Dynamics on Resampled Sparse Erd\H{o}s--R\'enyi Graphs: Gaussian Winner Selection and Pace to Unanimity

Hai-Xiao Wang, Ioana Dumitriu, Muchen Ju

arxiv:2608.06159 v1 · 2026-08-06 · math.PR · cs.DM · cs.IT · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQFHD364MQVOOKVN54RTTJM2CY}

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	2026-08-07T01:40:50.730674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c0a71efdc642ae72aadef2339a59a16378f27a525fcc0a8e55983903bd706be

Aliases

arxiv: 2608.06159 · arxiv_version: 2608.06159v1 · doi: 10.48550/arxiv.2608.06159 · pith_short_12: LQFHD364MQVO · pith_short_16: LQFHD364MQVOOKVN · pith_short_8: LQFHD364

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/LQFHD364MQVOOKVN54RTTJM2CY \
  | 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: 5c0a71efdc642ae72aadef2339a59a16378f27a525fcc0a8e55983903bd706be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9de1b13280faccb73358bcb0175e4965592085a5b6301dbe5e2cae821f13129",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-06T15:28:59Z",
    "title_canon_sha256": "a47a9d923bae685b164c2096d4bd98d188ef83a158c074e6cd10ea5e022ddcee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06159",
    "kind": "arxiv",
    "version": 1
  }
}