Pith Number

pith:55BDVOE7

pith:2011:55BDVOE7L7G3ATOLAVML34CC2C

not attested not anchored not stored refs pending

Existence of a ground state and scattering for a nonlinear Schroedinger equation with critical growth

Hayato Nawa, Hiroaki Kikuchi, Slim Ibrahim, Takafumi Akahori

arxiv:1112.1121 v1 · 2011-12-05 · 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{55BDVOE7L7G3ATOLAVML34CC2C}

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	2026-05-18T04:06:56.237022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef423ab89f5fcdb04dcb0558bdf042d0a25d0c5b29f89273333f857e22b7d543

Aliases

arxiv: 1112.1121 · arxiv_version: 1112.1121v1 · doi: 10.48550/arxiv.1112.1121 · pith_short_12: 55BDVOE7L7G3 · pith_short_16: 55BDVOE7L7G3ATOL · pith_short_8: 55BDVOE7

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/55BDVOE7L7G3ATOLAVML34CC2C \
  | 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: ef423ab89f5fcdb04dcb0558bdf042d0a25d0c5b29f89273333f857e22b7d543

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a160955cea81fb1225797cc35a1e71f38e5e46f572b87ab0b105c9afb6697cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-05T23:28:11Z",
    "title_canon_sha256": "a29d35f2435218b0c2e186a151ac0e58239d03ce6507d6d084cdb885848f7a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1121",
    "kind": "arxiv",
    "version": 1
  }
}