Pith Number

pith:F7ZKUKN2

pith:2011:F7ZKUKN2HTWW2RPFDY5KHC5LPP

not attested not anchored not stored refs pending

Structural resolvent estimates and derivative nonlinear Schrodinger equations

Michael Ruzhansky, Mitsuru Sugimoto

arxiv:1101.5026 v1 · 2011-01-26 · 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{F7ZKUKN2HTWW2RPFDY5KHC5LPP}

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	2026-05-18T03:02:44.267593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ff2aa29ba3ced6d45e51e3aa38bab7bf8ac3395b434f2877a76ecb93590bf07

Aliases

arxiv: 1101.5026 · arxiv_version: 1101.5026v1 · doi: 10.48550/arxiv.1101.5026 · pith_short_12: F7ZKUKN2HTWW · pith_short_16: F7ZKUKN2HTWW2RPF · pith_short_8: F7ZKUKN2

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/F7ZKUKN2HTWW2RPFDY5KHC5LPP \
  | 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: 2ff2aa29ba3ced6d45e51e3aa38bab7bf8ac3395b434f2877a76ecb93590bf07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "094af6c9832cf7d19542b4c77305a9958c630eba1f86d290d75f9b931db8fd41",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-26T11:22:55Z",
    "title_canon_sha256": "c43d32b2ce2cb3bed99afcbd0c2ebb1e4c759ec893083f1e6cc3effb902ca91a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5026",
    "kind": "arxiv",
    "version": 1
  }
}