Pith Number

pith:QXPTN7C3

pith:2014:QXPTN7C3N2LKHFTIHEZOG3CCII

not attested not anchored not stored refs pending

m-Microlocal elliptic pseudodifferential operators acting on $L^p_{\rm loc}(\Omega)$

Alessandro Morando, Gianluca Garello

arxiv:1412.7326 v1 · 2014-12-23 · 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{QXPTN7C3N2LKHFTIHEZOG3CCII}

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	2026-05-18T02:30:39.132648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85df36fc5b6e96a396683932e36c42423752c0d7bb5dc3d82068eed35f5c4cc7

Aliases

arxiv: 1412.7326 · arxiv_version: 1412.7326v1 · doi: 10.48550/arxiv.1412.7326 · pith_short_12: QXPTN7C3N2LK · pith_short_16: QXPTN7C3N2LKHFTI · pith_short_8: QXPTN7C3

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/QXPTN7C3N2LKHFTIHEZOG3CCII \
  | 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: 85df36fc5b6e96a396683932e36c42423752c0d7bb5dc3d82068eed35f5c4cc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84bd851fc4d7d8425be1e6d6f27c4315bd636c408d6a52b458c4ad22b9e518af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-23T11:34:48Z",
    "title_canon_sha256": "88de16efdbf931b434c2d7c6f5665c4dea668eb38eac2efcc1b82a806cda34dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7326",
    "kind": "arxiv",
    "version": 1
  }
}