Pith Number

pith:ZHWG2FPH

pith:2011:ZHWG2FPHB646YXFBAYZ2ELMHFH

not attested not anchored not stored refs pending

Nonlocalized modulation of periodic reaction diffusion waves: Nonlinear stability

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

arxiv:1105.5040 v2 · 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{ZHWG2FPHB646YXFBAYZ2ELMHFH}

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	2026-05-18T02:01:50.913708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9ec6d15e70fb9ec5ca10633a22d8729e251d94ce70af1d1e568dc0bb08403d9

Aliases

arxiv: 1105.5040 · arxiv_version: 1105.5040v2 · doi: 10.48550/arxiv.1105.5040 · pith_short_12: ZHWG2FPHB646 · pith_short_16: ZHWG2FPHB646YXFB · pith_short_8: ZHWG2FPH

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/ZHWG2FPHB646YXFBAYZ2ELMHFH \
  | 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: c9ec6d15e70fb9ec5ca10633a22d8729e251d94ce70af1d1e568dc0bb08403d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f492a678e4c021d9b62f9dc8559086bb5a3304a227a1f7406bbd000ffdd24fa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-25T14:33:13Z",
    "title_canon_sha256": "b988c04f5bb95dce7f87ec9e366017e50aa8aae91702e75500525cbd7ff6b5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5040",
    "kind": "arxiv",
    "version": 2
  }
}