Pith Number

pith:AB4INH5X

pith:2008:AB4INH5X5BBE6YZJMWZOXKB24F

not attested not anchored not stored refs pending

Renormalization Group Approach to Oscillator Synchronization

G. Refael, Jeffrey L. Rogers, M. C. Cross, Oleg Kogan

arxiv:0810.3075 v2 · 2008-10-17 · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AB4INH5X5BBE6YZJMWZOXKB24F}

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	2026-05-18T00:56:47.202028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0078869fb7e8424f632965b2eba83ae16907b21c4b03da6ef0d536ec5ced58de

Aliases

arxiv: 0810.3075 · arxiv_version: 0810.3075v2 · doi: 10.48550/arxiv.0810.3075 · pith_short_12: AB4INH5X5BBE · pith_short_16: AB4INH5X5BBE6YZJ · pith_short_8: AB4INH5X

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/AB4INH5X5BBE6YZJMWZOXKB24F \
  | 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: 0078869fb7e8424f632965b2eba83ae16907b21c4b03da6ef0d536ec5ced58de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbfd901e10392c30079df72d4b33025ea56808c5cbb8b3e33f812d444e17079",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2008-10-17T07:07:55Z",
    "title_canon_sha256": "5eb24e1a06d5fd11d1bb4698faae7d60446143a1ed1f6e7497519811a935024e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3075",
    "kind": "arxiv",
    "version": 2
  }
}