Pith Number

pith:MICMD2OX

pith:2025:MICMD2OXKFJXSCK5VDAK6FJRSA

not attested not anchored not stored refs pending

Global synchronization beyond dense graphs: the case of threshold graphs

Hongjin Wu, Ulrik Brandes

arxiv:2511.12646 v6 · 2025-11-16 · math.DS · math.CA · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MICMD2OXKFJXSCK5VDAK6FJRSA}

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

Benign nonconvexity of synchronization landscape induced by graph skeletons

Receipt and verification

First computed	2026-06-19T16:10:54.169218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6204c1e9d7515379095da8c0af1531900b469bcefbc479c9c152c9fe95458ee8

Aliases

arxiv: 2511.12646 · arxiv_version: 2511.12646v6 · doi: 10.48550/arxiv.2511.12646 · pith_short_12: MICMD2OXKFJX · pith_short_16: MICMD2OXKFJXSCK5 · pith_short_8: MICMD2OX

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/MICMD2OXKFJXSCK5VDAK6FJRSA \
  | 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: 6204c1e9d7515379095da8c0af1531900b469bcefbc479c9c152c9fe95458ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1456f1edff89f9205ae65cd0d56b02f7b5caec41c7a45c068f4a98952796238",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-11-16T15:28:07Z",
    "title_canon_sha256": "1402e33fb717f7eeed69e7ae88c2628c07748b03eb4e00d4f5ac8d92d456816b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.12646",
    "kind": "arxiv",
    "version": 6
  }
}