Pith Number

pith:VQWOODRC

pith:2020:VQWOODRCUA7XW46E264LDWZRFR

not attested not anchored not stored refs pending

Blow-up criteria below scaling for defocusing energy-supercritical NLS and quantitative global scattering bounds

Aynur Bulut

arxiv:2001.05477 v2 · 2020-01-15 · 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{VQWOODRCUA7XW46E264LDWZRFR}

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	2026-07-05T08:19:06.274295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2ce70e22a03f7b73c4d7b8b1db312c72502601aeb536b57ad47abfe78c6438

Aliases

arxiv: 2001.05477 · arxiv_version: 2001.05477v2 · doi: 10.48550/arxiv.2001.05477 · pith_short_12: VQWOODRCUA7X · pith_short_16: VQWOODRCUA7XW46E · pith_short_8: VQWOODRC

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/VQWOODRCUA7XW46E264LDWZRFR \
  | 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: ac2ce70e22a03f7b73c4d7b8b1db312c72502601aeb536b57ad47abfe78c6438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3381531d1fb3046baf7c1aeb4e1b970bc0ec96e1eb952736185c8ebeebb08c48",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-01-15T18:45:06Z",
    "title_canon_sha256": "31e1e3643d1e36bcf4924bd9802e41d2ae6edff2677abf153a5664e8e3af3991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.05477",
    "kind": "arxiv",
    "version": 2
  }
}