Pith Number

pith:W7I52PII

pith:2009:W7I52PIIOJJDL44J34CDPFIJCG

not attested not anchored not stored refs pending

Existence of hysteresis in the Kuramoto model with bimodal frequency distributions

Diego Paz\'o, Ernest Montbri\'o

arxiv:0904.3735 v2 · 2009-04-23 · 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{W7I52PIIOJJDL44J34CDPFIJCG}

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	2026-05-18T02:13:57.720242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d1dd3d08725235f389df04379509118348aef5f2dacf5077f8da2dd0056ecb

Aliases

arxiv: 0904.3735 · arxiv_version: 0904.3735v2 · doi: 10.48550/arxiv.0904.3735 · pith_short_12: W7I52PIIOJJD · pith_short_16: W7I52PIIOJJDL44J · pith_short_8: W7I52PII

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/W7I52PIIOJJDL44J34CDPFIJCG \
  | 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: b7d1dd3d08725235f389df04379509118348aef5f2dacf5077f8da2dd0056ecb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae82a1ec3575768bfcb4f66cc2b76a7a382a85f63635aa0880956003c2fb8a01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2009-04-23T17:33:37Z",
    "title_canon_sha256": "42f2a292537fe621d74b95be6f463f0f84a1dcc5f0ba3217e2750df86f7c0406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3735",
    "kind": "arxiv",
    "version": 2
  }
}