Pith Number

pith:NURECMTT

pith:2014:NURECMTTFMZH7SRQSLFG4CFM73

not attested not anchored not stored refs pending

Growth of Sobolev norms for the quintic NLS on $\mathbb T^2$

Emanuele Haus, Michela Procesi

arxiv:1405.1538 v1 · 2014-05-07 · 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{NURECMTTFMZH7SRQSLFG4CFM73}

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	2026-05-18T00:35:52.042925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d224132732b327fca3092ca6e08acfeeadd05d343c40c89fc4f4939a0ecc2cf

Aliases

arxiv: 1405.1538 · arxiv_version: 1405.1538v1 · doi: 10.48550/arxiv.1405.1538 · pith_short_12: NURECMTTFMZH · pith_short_16: NURECMTTFMZH7SRQ · pith_short_8: NURECMTT

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/NURECMTTFMZH7SRQSLFG4CFM73 \
  | 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: 6d224132732b327fca3092ca6e08acfeeadd05d343c40c89fc4f4939a0ecc2cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e92e085ddec12b7d1b58668f5a683b883f3a1e735bbc22d575017d770dbd64e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-05-07T09:14:48Z",
    "title_canon_sha256": "544981ddeb0df4a3e863ed473dd34cd17bf2fb936c85f554c722c3e0eb35d772"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1538",
    "kind": "arxiv",
    "version": 1
  }
}