Pith Number

pith:7PJUVLXD

pith:2011:7PJUVLXDMQKSKOZGKBYZXQERVL

not attested not anchored not stored refs pending

Global well-posedness of the energy-critical defocusing NLS on $\mathbb{R}\times\mathbb{T}^3$

Alexandru D. Ionescu, Benoit Pausader

arxiv:1101.4527 v2 · 2011-01-24 · 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{7PJUVLXDMQKSKOZGKBYZXQERVL}

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	2026-05-18T02:03:24.834714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd34aaee36415253b2650719bc091aafb58e350538f12a773edf74542b93b7e

Aliases

arxiv: 1101.4527 · arxiv_version: 1101.4527v2 · doi: 10.48550/arxiv.1101.4527 · pith_short_12: 7PJUVLXDMQKS · pith_short_16: 7PJUVLXDMQKSKOZG · pith_short_8: 7PJUVLXD

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/7PJUVLXDMQKSKOZGKBYZXQERVL \
  | 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: fbd34aaee36415253b2650719bc091aafb58e350538f12a773edf74542b93b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32ef3a794da59a58fab67bed44a20f175c921080133d9d016d98f1ac7615f7cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-24T13:43:01Z",
    "title_canon_sha256": "a59fc91959f74d6cf1928c86e77fecedbc94ededc3e2a6206d87ce112e22b2d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4527",
    "kind": "arxiv",
    "version": 2
  }
}