Pith Number

pith:NGWQ6G5C

pith:2022:NGWQ6G5CNHHS6BL4R2ZAEBF62I

not attested not anchored not stored refs pending

On the Existence of Self-Similar solutions for some Nonlinear Schr\"odinger equations

Avy Soffer, Xiaoxu Wu

arxiv:2205.14765 v2 · 2022-05-29 · math.AP · math-ph · 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{NGWQ6G5CNHHS6BL4R2ZAEBF62I}

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	2026-05-21T01:04:10.876491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ad0f1ba269cf2f057c8eb20204bed2125d4e77839e388b13eefa9459cf8f76

Aliases

arxiv: 2205.14765 · arxiv_version: 2205.14765v2 · doi: 10.48550/arxiv.2205.14765 · pith_short_12: NGWQ6G5CNHHS · pith_short_16: NGWQ6G5CNHHS6BL4 · pith_short_8: NGWQ6G5C

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/NGWQ6G5CNHHS6BL4R2ZAEBF62I \
  | 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: 69ad0f1ba269cf2f057c8eb20204bed2125d4e77839e388b13eefa9459cf8f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d49a2214e565cdf818f57e87df1b7e9b23134563066752f5c3dc91e2ebf8d86",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-05-29T20:55:55Z",
    "title_canon_sha256": "f59aadf62e55b76566023a1f9dad178e51ec2b4aa45fc297f8d6d857398bfb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.14765",
    "kind": "arxiv",
    "version": 2
  }
}