Pith Number

pith:QUHEZZAD

pith:2014:QUHEZZADAK4BYTJJQZ6INA23SR

not attested not anchored not stored refs pending

Optimal magnetic Sobolev constants in the semiclassical limit

Nicolas Raymond, Soeren Fournais

arxiv:1411.5554 v1 · 2014-11-20 · 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{QUHEZZADAK4BYTJJQZ6INA23SR}

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	2026-05-18T02:33:24.359252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

850e4ce40302b81c4d29867c86835b944a9713829a813afccef7cf06f0d58caa

Aliases

arxiv: 1411.5554 · arxiv_version: 1411.5554v1 · doi: 10.48550/arxiv.1411.5554 · pith_short_12: QUHEZZADAK4B · pith_short_16: QUHEZZADAK4BYTJJ · pith_short_8: QUHEZZAD

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/QUHEZZADAK4BYTJJQZ6INA23SR \
  | 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: 850e4ce40302b81c4d29867c86835b944a9713829a813afccef7cf06f0d58caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdcc17df9c598bd9b8a9ce774947572aec7eec8aac94c1c22f5a7d7706f28432",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-20T14:18:06Z",
    "title_canon_sha256": "a420e784e9397af11a7cabcc4e8dfa3c13e16a852e2589e761abbe48c17f5786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5554",
    "kind": "arxiv",
    "version": 1
  }
}