Pith Number

pith:NFCGRZ2U

pith:2014:NFCGRZ2UYONK6ZZWDAQ7UMTYW3

not attested not anchored not stored refs pending

Explosive Synchronization is Discontinuous

Tiago Pereira, Vladimir Vlasov, Yong Zou

arxiv:1411.6873 v1 · 2014-11-25 · nlin.AO · math-ph · math.CA · 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{NFCGRZ2UYONK6ZZWDAQ7UMTYW3}

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	2026-05-18T02:32:47.101430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

694468e754c39aaf67361821fa3278b6ee082afa8ce11c91d7061f382350fd5d

Aliases

arxiv: 1411.6873 · arxiv_version: 1411.6873v1 · doi: 10.48550/arxiv.1411.6873 · pith_short_12: NFCGRZ2UYONK · pith_short_16: NFCGRZ2UYONK6ZZW · pith_short_8: NFCGRZ2U

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/NFCGRZ2UYONK6ZZWDAQ7UMTYW3 \
  | 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: 694468e754c39aaf67361821fa3278b6ee082afa8ce11c91d7061f382350fd5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba7690995db0bedc2bd489286edd7341d8a37de5b6317708188f32350b021c0",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2014-11-25T14:17:37Z",
    "title_canon_sha256": "7656ab96ff633e3d9aadeab05b4c5825721c206026199bdaa56d7c9e7cdbd075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6873",
    "kind": "arxiv",
    "version": 1
  }
}