Pith Number

pith:JT6S2KBW

pith:2016:JT6S2KBWPZUCPAHCE5J2JVLMNG

not attested not anchored not stored refs pending

Explosive transitions in complex networks' structure and dynamics: percolation and synchronization

I. Leyva, I. Sendi\~na-Nadal, J.A. Almendral, S. Boccaletti, S. Guan, Y. Zou, Z. Liu, Z. Wang

arxiv:1610.01361 v1 · 2016-10-05 · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JT6S2KBWPZUCPAHCE5J2JVLMNG}

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	2026-05-18T00:53:30.044962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cfd2d28367e682780e22753a4d56c698a530d7d123b09d377d859d8b5d093cb

Aliases

arxiv: 1610.01361 · arxiv_version: 1610.01361v1 · doi: 10.48550/arxiv.1610.01361 · pith_short_12: JT6S2KBWPZUC · pith_short_16: JT6S2KBWPZUCPAHC · pith_short_8: JT6S2KBW

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/JT6S2KBWPZUCPAHCE5J2JVLMNG \
  | 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: 4cfd2d28367e682780e22753a4d56c698a530d7d123b09d377d859d8b5d093cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12efb1f26e79f839a2aa5f0d3da87abf3a777c12f278d83547a8a2bc507ff1fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2016-10-05T11:14:27Z",
    "title_canon_sha256": "695cad1f4e97fea390828d1262fee3215575c9a1edf8a27a5aa9b848ff94fcb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01361",
    "kind": "arxiv",
    "version": 1
  }
}