Pith Number

pith:JNWZ34XM

pith:2012:JNWZ34XMEMBXJRN4OGWZXEKQQZ

not attested not anchored not stored refs pending

Synchronisation Properties of Trees in the Kuramoto Model

Anthony H. Dekker, Richard Taylor

arxiv:1210.1273 v3 · 2012-10-04 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNWZ34XMEMBXJRN4OGWZXEKQQZ}

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	2026-05-18T03:22:05.987386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b6d9df2ec230374c5bc71ad9b9150866d97212c83ee9e5946dd628396dd1ab6

Aliases

arxiv: 1210.1273 · arxiv_version: 1210.1273v3 · doi: 10.48550/arxiv.1210.1273 · pith_short_12: JNWZ34XMEMBX · pith_short_16: JNWZ34XMEMBXJRN4 · pith_short_8: JNWZ34XM

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/JNWZ34XMEMBXJRN4OGWZXEKQQZ \
  | 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: 4b6d9df2ec230374c5bc71ad9b9150866d97212c83ee9e5946dd628396dd1ab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d1b9a6d36b18f0e4a0d7995ee54baf23d244b004047199f4b69465f31c8b95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-04T01:03:38Z",
    "title_canon_sha256": "19a2a0f99c5a56ac7892cb4465474bcd9d8ce02622cea187481387b4c2a08ab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1273",
    "kind": "arxiv",
    "version": 3
  }
}