Pith Number

pith:2ZRQTMVI

pith:2015:2ZRQTMVIKJGLRTJW6SN7KNND5S

not attested not anchored not stored refs pending

Scattering for the focusing $L^{2}$ -supercritical and $\dot H^2$-subcritical biharmonic NLS Equations

Qing Guo

arxiv:1504.02853 v1 · 2015-04-11 · 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{2ZRQTMVIKJGLRTJW6SN7KNND5S}

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	2026-05-18T02:18:59.857930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d66309b2a8524cb8cd36f49bf535a3ecb7e1230eb69feeec5360dfd72f2a9f43

Aliases

arxiv: 1504.02853 · arxiv_version: 1504.02853v1 · doi: 10.48550/arxiv.1504.02853 · pith_short_12: 2ZRQTMVIKJGL · pith_short_16: 2ZRQTMVIKJGLRTJW · pith_short_8: 2ZRQTMVI

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/2ZRQTMVIKJGLRTJW6SN7KNND5S \
  | 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: d66309b2a8524cb8cd36f49bf535a3ecb7e1230eb69feeec5360dfd72f2a9f43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f60f1ac2957d91999d87218db9342e19eaf197bbb84f7e0f5c5ece80a37457f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-11T09:24:10Z",
    "title_canon_sha256": "73376a83a07ffece57382840aa370ce995c9af87610460b54925df892527a922"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02853",
    "kind": "arxiv",
    "version": 1
  }
}