Pith Number

pith:VEXCNIEU

pith:2015:VEXCNIEUVTSLJUAKTE4D4VXZ3K

not attested not anchored not stored refs pending

Blowup for Biharmonic NLS

Enno Lenzmann, Thomas Boulenger

arxiv:1503.01741 v2 · 2015-03-05 · 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{VEXCNIEUVTSLJUAKTE4D4VXZ3K}

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	2026-05-18T02:18:15.094680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a92e26a094ace4b4d00a99383e56f9dab2e232d1b00b383a735da0dd8521242a

Aliases

arxiv: 1503.01741 · arxiv_version: 1503.01741v2 · doi: 10.48550/arxiv.1503.01741 · pith_short_12: VEXCNIEUVTSL · pith_short_16: VEXCNIEUVTSLJUAK · pith_short_8: VEXCNIEU

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/VEXCNIEUVTSLJUAKTE4D4VXZ3K \
  | 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: a92e26a094ace4b4d00a99383e56f9dab2e232d1b00b383a735da0dd8521242a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a52e6e06d738965d020efe8641154954fe80cb1396d8f56577c4a73b2a4b2fad",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-05T19:35:32Z",
    "title_canon_sha256": "e5308e39f909c8c0e7e0e916ac79e7d6425cf563e63f0210ec0685f57191f5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01741",
    "kind": "arxiv",
    "version": 2
  }
}