Pith Number

pith:CSDJX2R5

pith:2016:CSDJX2R5FWQJ2LNBGPCWP4EJOA

not attested not anchored not stored refs pending

Explicit estimates on the torus for the sup-norm and the crest factor of solutions of the Modified Kuramoto-Sivashinky Equation in one and two space dimensions

Guido Gentile, Jonathan H. Deane, Michele V. Bartuccelli

arxiv:1609.09394 v1 · 2016-09-29 · 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{CSDJX2R5FWQJ2LNBGPCWP4EJOA}

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	2026-05-18T01:03:37.992807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14869bea3d2da09d2da133c567f0897030575162e8d51c2c552a89338e927d79

Aliases

arxiv: 1609.09394 · arxiv_version: 1609.09394v1 · doi: 10.48550/arxiv.1609.09394 · pith_short_12: CSDJX2R5FWQJ · pith_short_16: CSDJX2R5FWQJ2LNB · pith_short_8: CSDJX2R5

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/CSDJX2R5FWQJ2LNBGPCWP4EJOA \
  | 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: 14869bea3d2da09d2da133c567f0897030575162e8d51c2c552a89338e927d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5709d1d91dc67e8901ade846aecfd996f551ce9625a5c0bc44f3412482e683af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-29T15:39:19Z",
    "title_canon_sha256": "f2a584222018585dd2668d6fc93aa2d808fc2f84f502ca26ada94988bbf55b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09394",
    "kind": "arxiv",
    "version": 1
  }
}