Pith Number

pith:QIOXB5M7

pith:2011:QIOXB5M73XZ76DAJNE5WA2BEAY

not attested not anchored not stored refs pending

Hierarchical Synchrony of Phase Oscillators in Modular Networks

Juan G. Restrepo, Per Sebastian Skardal

arxiv:1111.0921 v2 · 2011-11-03 · nlin.CD · math.DS · nlin.AO · nlin.PS · 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{QIOXB5M73XZ76DAJNE5WA2BEAY}

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	2026-05-18T04:04:18.688890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

821d70f59fddf3ff0c09693b606824060a36eaa31b34cd8bbe79585e464b2a3a

Aliases

arxiv: 1111.0921 · arxiv_version: 1111.0921v2 · doi: 10.48550/arxiv.1111.0921 · pith_short_12: QIOXB5M73XZ7 · pith_short_16: QIOXB5M73XZ76DAJ · pith_short_8: QIOXB5M7

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/QIOXB5M73XZ76DAJNE5WA2BEAY \
  | 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: 821d70f59fddf3ff0c09693b606824060a36eaa31b34cd8bbe79585e464b2a3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d0802a5db9f7e1f9ac8a9d7b697ffcfecc74a7efecfc02b3522ebd2a58704b7",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.AO",
      "nlin.PS",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2011-11-03T17:23:35Z",
    "title_canon_sha256": "8de577f511c4425278b73c1fca6d7ce01df8a99c7b3b68531fd2ab5dd86a304c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0921",
    "kind": "arxiv",
    "version": 2
  }
}