Pith Number

pith:IKMVKNDI

pith:2010:IKMVKNDIESLYKKBXTN4OLDWV5U

not attested not anchored not stored refs pending

On the Modulation Equations and Stability of Periodic GKdV Waves via Bloch Decompositions

Jared C. Bronski, Kevin Zumbrun, Mathew A. Johnson

arxiv:1003.3282 v1 · 2010-03-17 · 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{IKMVKNDIESLYKKBXTN4OLDWV5U}

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	2026-05-18T02:08:26.597170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

429955346824978528379b78e58ed5ed2a27f6ca777ae2d39b2a01b8e04b32c7

Aliases

arxiv: 1003.3282 · arxiv_version: 1003.3282v1 · doi: 10.48550/arxiv.1003.3282 · pith_short_12: IKMVKNDIESLY · pith_short_16: IKMVKNDIESLYKKBX · pith_short_8: IKMVKNDI

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/IKMVKNDIESLYKKBXTN4OLDWV5U \
  | 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: 429955346824978528379b78e58ed5ed2a27f6ca777ae2d39b2a01b8e04b32c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be90ea621d603f600af36cdd61d606749e0f6daa78ceeafea664df9c48d294d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-17T03:01:20Z",
    "title_canon_sha256": "22863091377784fffe515cbc1fe91db4450b8ed4de3f5202cde51ef298efb5b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3282",
    "kind": "arxiv",
    "version": 1
  }
}