Pith Number

pith:XQZHHQ2P

pith:2011:XQZHHQ2PAHQZQEJA3W7WZ7ZKU7

not attested not anchored not stored refs pending

Nonlocalized modulation of periodic reaction diffusion waves: The Whitham equation

Kevin Zumbrun, L. Miguel Rodrigues, Mathew Johnson, Pascal Noble

arxiv:1105.5044 v3 · 2011-05-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQZHHQ2PAHQZQEJA3W7WZ7ZKU7}

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	2026-05-18T02:01:50.906354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3273c34f01e1981120ddbf6cff2aa7d4d7757a9c2756a05dc1517fd0e3eafb

Aliases

arxiv: 1105.5044 · arxiv_version: 1105.5044v3 · doi: 10.48550/arxiv.1105.5044 · pith_short_12: XQZHHQ2PAHQZ · pith_short_16: XQZHHQ2PAHQZQEJA · pith_short_8: XQZHHQ2P

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/XQZHHQ2PAHQZQEJA3W7WZ7ZKU7 \
  | 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: bc3273c34f01e1981120ddbf6cff2aa7d4d7757a9c2756a05dc1517fd0e3eafb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47a8cf3976fc341d79c36d7de559ea1a52be33781f4ee2e351a7018c01b6de21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-25T14:36:43Z",
    "title_canon_sha256": "6cbf3d2dc73d5ba75a69e729caff69ecd18e8e6dca8de376527ad8d77a1ff3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5044",
    "kind": "arxiv",
    "version": 3
  }
}