Pith Number

pith:IXTDZS2N

pith:2025:IXTDZS2N5J2FUQ6V5M4UGIHM5N

not attested not anchored not stored refs pending

A new density limit for unanimity in majority dynamics on random graphs

BaoLinh Tran, Jeong Han Kim

arxiv:2503.07447 v1 · 2025-03-10 · math.CO · cs.DM · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IXTDZS2N5J2FUQ6V5M4UGIHM5N}

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

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

Receipt and verification

First computed	2026-07-05T10:27:56.464091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e63ccb4dea745a43d5eb394320eceb508b738eb16428f60d401dc1323e3449

Aliases

arxiv: 2503.07447 · arxiv_version: 2503.07447v1 · doi: 10.48550/arxiv.2503.07447 · pith_short_12: IXTDZS2N5J2F · pith_short_16: IXTDZS2N5J2FUQ6V · pith_short_8: IXTDZS2N

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/IXTDZS2N5J2FUQ6V5M4UGIHM5N \
  | 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: 45e63ccb4dea745a43d5eb394320eceb508b738eb16428f60d401dc1323e3449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a97b1eb26d725dc06ca01b0fe6ed12f0feeb236db65d3baefd1efde6485a0547",
    "cross_cats_sorted": [
      "cs.DM",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-10T15:27:26Z",
    "title_canon_sha256": "877b7f49924e3bd17b8d8d1d5fb5583267aac84fded6e9c1d775a1e70bba8c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.07447",
    "kind": "arxiv",
    "version": 1
  }
}