Pith Number

pith:GKFWECVK

pith:2010:GKFWECVKH6MVFMVVXZ64WWGFDC

not attested not anchored not stored refs pending

Whitham Averaged Equations and Modulational Stability of Periodic Traveling Waves of a Hyperbolic-Parabolic Balance Law

Blake Barker, Kevin Zumbrun, L.Miguel Rodrigues, Mathew A. Johnson, Pascal Noble

arxiv:1008.4729 v2 · 2010-08-27 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKFWECVKH6MVFMVVXZ64WWGFDC}

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	2026-05-18T04:41:25.993715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

328b620aaa3f9952b2b5be7dcb58c5189e72aaa069ff286c0d74ee38082e10c7

Aliases

arxiv: 1008.4729 · arxiv_version: 1008.4729v2 · doi: 10.48550/arxiv.1008.4729 · pith_short_12: GKFWECVKH6MV · pith_short_16: GKFWECVKH6MVFMVV · pith_short_8: GKFWECVK

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/GKFWECVKH6MVFMVVXZ64WWGFDC \
  | 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: 328b620aaa3f9952b2b5be7dcb58c5189e72aaa069ff286c0d74ee38082e10c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "370f25ac41ccec278dc25c52f5b7f280cf561b75939501cb9e922857cbfdf30f",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-27T14:13:41Z",
    "title_canon_sha256": "8a04d7e316b4f9100d8d627e2a92c75a13dbc3fbd23479328345a8604bae1e2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4729",
    "kind": "arxiv",
    "version": 2
  }
}