Pith Number

pith:S2NGEXCM

pith:2009:S2NGEXCMLK5GGCB5IPT7DIXGEY

not attested not anchored not stored refs pending

A para-differential renormalization technique for nonlinear dispersive equations

Alexandru D. Ionescu, Carlos E. Kenig, Herbert Koch, Sebastian Herr

arxiv:0907.4649 v1 · 2009-07-27 · 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{S2NGEXCMLK5GGCB5IPT7DIXGEY}

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	2026-05-18T04:37:22.303895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

969a625c4c5aba63083d43e7f1a2e62607278cffd138742122341162e8aa47a0

Aliases

arxiv: 0907.4649 · arxiv_version: 0907.4649v1 · doi: 10.48550/arxiv.0907.4649 · pith_short_12: S2NGEXCMLK5G · pith_short_16: S2NGEXCMLK5GGCB5 · pith_short_8: S2NGEXCM

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/S2NGEXCMLK5GGCB5IPT7DIXGEY \
  | 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: 969a625c4c5aba63083d43e7f1a2e62607278cffd138742122341162e8aa47a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "964c87eadd6793349f5137e18a3a8fc0cdc4a9fa842d3dca2ee3455080efc16a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-07-27T15:02:27Z",
    "title_canon_sha256": "ca7587fa2e376883e9816bbe9a1b50349dfb11ed738d8584fb03909f8f9557eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4649",
    "kind": "arxiv",
    "version": 1
  }
}