Pith Number

pith:KF2T4MH4

pith:2016:KF2T4MH4DSRI7XCK34ZWTCUPKP

not attested not anchored not stored refs pending

Three Formulations of the Kuramoto Model as a System of Polynomial Equations

Dhagash Mehta, Jakub Marecek, Matthew Niemerg, Tianran Chen

arxiv:1603.05905 v2 · 2016-03-18 · math.OC · cs.SY · eess.SY · math.AG · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KF2T4MH4DSRI7XCK34ZWTCUPKP}

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	2026-06-04T17:10:07.049992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51753e30fc1ca28fdc4adf33698a8f53fd8804302745cb965b807428b60fec7b

Aliases

arxiv: 1603.05905 · arxiv_version: 1603.05905v2 · doi: 10.48550/arxiv.1603.05905 · pith_short_12: KF2T4MH4DSRI · pith_short_16: KF2T4MH4DSRI7XCK · pith_short_8: KF2T4MH4

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/KF2T4MH4DSRI7XCK34ZWTCUPKP \
  | 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: 51753e30fc1ca28fdc4adf33698a8f53fd8804302745cb965b807428b60fec7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1acab0c20243ecd7e0c88200ad1d202d8d51bb702da6b5a8c3ab864d1350f860",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY",
      "math.AG",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-03-18T16:12:13Z",
    "title_canon_sha256": "59dc10312df2c7035aad4b52c941bb38442c21df0adbcec087f8823f7c453fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05905",
    "kind": "arxiv",
    "version": 2
  }
}