Pith Number

pith:M623RLJO

pith:2011:M623RLJOW5J772FSS4NLJZI3MV

not attested not anchored not stored refs pending

Threshold solutions for the focusing $L^{2}$ -supercritical NLS Equations

Qing Guo

arxiv:1111.5669 v1 · 2011-11-24 · 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{M623RLJOW5J772FSS4NLJZI3MV}

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	2026-05-18T04:07:42.621585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67b5b8ad2eb753ffe8b2971ab4e51b655bf04eaad52eaf5862aeb14c5f774d14

Aliases

arxiv: 1111.5669 · arxiv_version: 1111.5669v1 · doi: 10.48550/arxiv.1111.5669 · pith_short_12: M623RLJOW5J7 · pith_short_16: M623RLJOW5J772FS · pith_short_8: M623RLJO

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/M623RLJOW5J772FSS4NLJZI3MV \
  | 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: 67b5b8ad2eb753ffe8b2971ab4e51b655bf04eaad52eaf5862aeb14c5f774d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efe517c0ac25774076add3f44fb19cb95704563acfee0c7b437cddb006c4e88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-24T02:26:59Z",
    "title_canon_sha256": "3699b4527766edc711e29c0ea88dd6864daa1d1a9f5e06123c8a599090c74b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5669",
    "kind": "arxiv",
    "version": 1
  }
}