Pith Number

pith:WD5BGG57

pith:2015:WD5BGG577NO6CL2CIEGE527LBB

not attested not anchored not stored refs pending

Norm-inflation for periodic NLS equations in negative Sobolev spaces

R\'emi Carles (I3M), Thomas Kappeler

arxiv:1507.04218 v1 · 2015-07-15 · 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{WD5BGG577NO6CL2CIEGE527LBB}

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	2026-07-05T01:59:24.836651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0fa131bbffb5de12f42410c4eebeb085500f50e5df8b09a169a6b22e62ef4ad

Aliases

arxiv: 1507.04218 · arxiv_version: 1507.04218v1 · doi: 10.48550/arxiv.1507.04218 · pith_short_12: WD5BGG577NO6 · pith_short_16: WD5BGG577NO6CL2C · pith_short_8: WD5BGG57

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/WD5BGG577NO6CL2CIEGE527LBB \
  | 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: b0fa131bbffb5de12f42410c4eebeb085500f50e5df8b09a169a6b22e62ef4ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "773c42c9a6b09d0899ffe2e6b7d4f5d85d4369cd53de08b88937cb740dc68348",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-15T13:48:19Z",
    "title_canon_sha256": "078acb377cac494ee60301c455af4c7c3c1d58f6f10a66c42a4eae62cbbb9be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04218",
    "kind": "arxiv",
    "version": 1
  }
}