Pith Number

pith:7IKY5VMR

pith:2009:7IKY5VMRU6HXR3T5XQXFNFQPLR

not attested not anchored not stored refs pending

Learning-rate dependent clustering and self-development in a network of coupled phase oscillators

L. Q. English, Ritwik K. Niyogi

arxiv:0908.4220 v1 · 2009-08-28 · 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{7IKY5VMRU6HXR3T5XQXFNFQPLR}

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	2026-05-18T02:12:13.322327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa158ed591a78f78ee7dbc2e56960f5c522d4f88ba87e70e135e5869f3ec06f7

Aliases

arxiv: 0908.4220 · arxiv_version: 0908.4220v1 · doi: 10.48550/arxiv.0908.4220 · pith_short_12: 7IKY5VMRU6HX · pith_short_16: 7IKY5VMRU6HXR3T5 · pith_short_8: 7IKY5VMR

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/7IKY5VMRU6HXR3T5XQXFNFQPLR \
  | 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: fa158ed591a78f78ee7dbc2e56960f5c522d4f88ba87e70e135e5869f3ec06f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab01e12964942524ae37ad5ad20a73ef9f2ce160bfc6e63dcd1deea37648bd0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2009-08-28T14:32:36Z",
    "title_canon_sha256": "179877a00e5163fd282f7c7303186dc582e41e9a88bcc27fbce17d034708048c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.4220",
    "kind": "arxiv",
    "version": 1
  }
}