Pith Number

pith:LSMZ5J4J

pith:2011:LSMZ5J4JAZU776V4GFFHGTIFLZ

not attested not anchored not stored refs pending

Some Results on the Scattering Theory for a Schr\"{o}dinger Equation with Combined Power-Type Nonlinearities

Xianfa Song

arxiv:1104.2684 v1 · 2011-04-14 · 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{LSMZ5J4JAZU776V4GFFHGTIFLZ}

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	2026-05-18T04:24:27.064794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c999ea7890669fffabc314a734d055e5b44e7c6b220b3b25d3a47f1089e4af4

Aliases

arxiv: 1104.2684 · arxiv_version: 1104.2684v1 · doi: 10.48550/arxiv.1104.2684 · pith_short_12: LSMZ5J4JAZU7 · pith_short_16: LSMZ5J4JAZU776V4 · pith_short_8: LSMZ5J4J

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/LSMZ5J4JAZU776V4GFFHGTIFLZ \
  | 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: 5c999ea7890669fffabc314a734d055e5b44e7c6b220b3b25d3a47f1089e4af4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18d4f057952c8ba7eb6bca68a9ce2b197d1d36dc9aa72d4b2c98fde3f453e2c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-14T07:32:31Z",
    "title_canon_sha256": "f9acf3b9da6e7e9013b5542cd0bfd1f9b4b01769ac9194bcc39eab323c1c6921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2684",
    "kind": "arxiv",
    "version": 1
  }
}