Pith Number

pith:7KD5MF6S

pith:2015:7KD5MF6SYXGVRFMD4EFHVF6MKX

not attested not anchored not stored refs pending

Mixed mode oscillations of the El Ni\~no-Southern Oscillation

Andrew Roberts, Axel Timmermann, Christopher K.R.T. Jones, Esther Widiasih, John Guckenheimer

arxiv:1511.07472 v3 · 2015-11-23 · 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{7KD5MF6SYXGVRFMD4EFHVF6MKX}

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	2026-05-18T01:15:43.937706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa87d617d2c5cd589583e10a7a97cc55ddc8290df5f3120b0d06001a72a6c6d1

Aliases

arxiv: 1511.07472 · arxiv_version: 1511.07472v3 · doi: 10.48550/arxiv.1511.07472 · pith_short_12: 7KD5MF6SYXGV · pith_short_16: 7KD5MF6SYXGVRFMD · pith_short_8: 7KD5MF6S

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/7KD5MF6SYXGVRFMD4EFHVF6MKX \
  | 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: fa87d617d2c5cd589583e10a7a97cc55ddc8290df5f3120b0d06001a72a6c6d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "909ad1e032521c76542cf65267c2484bcb98b271cc42b519235432ee508e9e11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-11-23T21:45:07Z",
    "title_canon_sha256": "91ac07b3b9b029fc79392a0846c864d234549437c9bbfc463891496bd4ed3e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07472",
    "kind": "arxiv",
    "version": 3
  }
}