Pith Number

pith:7MGD73ZO

pith:2009:7MGD73ZOEWMWIUJMXKTOLVGHJV

not attested not anchored not stored refs pending

Phase oscillators with global sinusoidal coupling evolve by Mobius group action

Renato E. Mirollo, Seth A. Marvel, Steven H. Strogatz

arxiv:0904.1680 v2 · 2009-04-10 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MGD73ZOEWMWIUJMXKTOLVGHJV}

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	2026-05-18T02:14:06.555944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb0c3fef2e259964512cbaa6e5d4c74d4e39d7daae5733b946cdc12b744e96fb

Aliases

arxiv: 0904.1680 · arxiv_version: 0904.1680v2 · doi: 10.48550/arxiv.0904.1680 · pith_short_12: 7MGD73ZOEWMW · pith_short_16: 7MGD73ZOEWMWIUJM · pith_short_8: 7MGD73ZO

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/7MGD73ZOEWMWIUJMXKTOLVGHJV \
  | 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: fb0c3fef2e259964512cbaa6e5d4c74d4e39d7daae5733b946cdc12b744e96fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8441872eeb510c7de999ffefddee5881ec9479e5e5b886abff44b1c949a2b4fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2009-04-10T11:39:38Z",
    "title_canon_sha256": "53da4dbbab47e6186df82b730f1a1e08d4f5425fdbcd7e2f24afa0f9bd9cb5f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1680",
    "kind": "arxiv",
    "version": 2
  }
}