Pith Number

pith:WDV5HLKC

pith:1998:WDV5HLKC5YWCNFO7CYN6RTG3LJ

not attested not anchored not stored refs pending

L^p-L^p' Estimates for the Nonlinear Schroedinger Equation on the Line and Inverse Scattering for the Nonlinear Schroedinger Equation with a Potential

Ricardo Weder

arxiv:math-ph/9806008 v1 · 1998-06-12 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDV5HLKC5YWCNFO7CYN6RTG3LJ}

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	2026-05-18T01:38:30.783797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ebd3ad42ee2c2695df161be8ccdb5a69482ea3a763233ef726a0af7b0c7d1f

Aliases

arxiv: math-ph/9806008 · arxiv_version: math-ph/9806008v1 · doi: 10.48550/arxiv.math-ph/9806008 · pith_short_12: WDV5HLKC5YWC · pith_short_16: WDV5HLKC5YWCNFO7 · pith_short_8: WDV5HLKC

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/WDV5HLKC5YWCNFO7CYN6RTG3LJ \
  | 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: b0ebd3ad42ee2c2695df161be8ccdb5a69482ea3a763233ef726a0af7b0c7d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43394d9d769e2e83096d041d859136b05e2ca0368b55bd7120dd6a3c981bd56d",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-06-12T13:22:22Z",
    "title_canon_sha256": "e7020c9194a74e3c97680435bea90feab68625153570c0054bd155901f983716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9806008",
    "kind": "arxiv",
    "version": 1
  }
}