Pith Number

pith:FSH6X73P

pith:2012:FSH6X73PPNQKOZEM6VUDQ725VO

not attested not anchored not stored refs pending

Modulation Spaces and Nonlinear Evolution Equations

Baoxiang Wang, Michael Ruzhansky, Mitsuru Sugimoto

arxiv:1203.4651 v1 · 2012-03-21 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSH6X73PPNQKOZEM6VUDQ725VO}

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	2026-05-18T03:59:37.552269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c8febff6f7b60a7648cf568387f5dab96ce67959aee7fa4eb8ac83cf09c6315

Aliases

arxiv: 1203.4651 · arxiv_version: 1203.4651v1 · doi: 10.48550/arxiv.1203.4651 · pith_short_12: FSH6X73PPNQK · pith_short_16: FSH6X73PPNQKOZEM · pith_short_8: FSH6X73P

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/FSH6X73PPNQKOZEM6VUDQ725VO \
  | 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: 2c8febff6f7b60a7648cf568387f5dab96ce67959aee7fa4eb8ac83cf09c6315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ddbff10c0d6518a218a9639ed605a0909263e805835ee0a1a1b9e0ef34fc7b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-21T04:27:30Z",
    "title_canon_sha256": "9940b8b9896c506ba29984f11cffad35df701610f0118b6a19ca36503fa86890"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4651",
    "kind": "arxiv",
    "version": 1
  }
}