Pith Number

pith:2RC6XDEA

pith:2017:2RC6XDEA6U433WFLYJABRTK2PG

not attested not anchored not stored refs pending

New characterizations of magnetic Sobolev spaces

Andrea Pinamonti, Eugenio Vecchi, Hoai-Minh Nguyen, Marco Squassina

arxiv:1703.09801 v1 · 2017-03-26 · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RC6XDEA6U433WFLYJABRTK2PG}

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	2026-05-18T00:47:39.434718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d445eb8c80f539bdd8abc24018cd5a799189358365ba66674c546932c1d3ea26

Aliases

arxiv: 1703.09801 · arxiv_version: 1703.09801v1 · doi: 10.48550/arxiv.1703.09801 · pith_short_12: 2RC6XDEA6U43 · pith_short_16: 2RC6XDEA6U433WFL · pith_short_8: 2RC6XDEA

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/2RC6XDEA6U433WFLYJABRTK2PG \
  | 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: d445eb8c80f539bdd8abc24018cd5a799189358365ba66674c546932c1d3ea26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "329505f54b3c3af28c42d1159d9887067d583a290ed2aaaf09085b2fb6f5108b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-26T17:55:17Z",
    "title_canon_sha256": "2157e2e0c46d2f16d7b0ceb8d421f97ab7d1d5db0af31bef3d610381ce5ac2db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09801",
    "kind": "arxiv",
    "version": 1
  }
}