Pith Number

pith:SAR3XGMF

pith:2012:SAR3XGMFSUQIJ5ACBTXWI46UQT

not attested not anchored not stored refs pending

Quadratic invariants for discrete clusters of weakly interacting waves

Katie L. Harper, Miguel D. Bustamante, Sergey V. Nazarenko

arxiv:1212.3156 v2 · 2012-12-13 · physics.flu-dyn · 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{SAR3XGMFSUQIJ5ACBTXWI46UQT}

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	2026-05-18T01:52:38.854723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9023bb9985952084f4020cef6473d484eb393de87507b7cf680a9bbeeb34fa7f

Aliases

arxiv: 1212.3156 · arxiv_version: 1212.3156v2 · doi: 10.48550/arxiv.1212.3156 · pith_short_12: SAR3XGMFSUQI · pith_short_16: SAR3XGMFSUQIJ5AC · pith_short_8: SAR3XGMF

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/SAR3XGMFSUQIJ5ACBTXWI46UQT \
  | 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: 9023bb9985952084f4020cef6473d484eb393de87507b7cf680a9bbeeb34fa7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82688fd6a335bfa948e1310e1bb55aeecf6748c8f1645b80448193ddd65d6cf5",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-12-13T12:48:55Z",
    "title_canon_sha256": "b3c1c826b09f495b3c29d60d3585dab8fc3acb22bb63f128f1690eece8c30e18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3156",
    "kind": "arxiv",
    "version": 2
  }
}