Pith Number

pith:QW76AVM5

pith:2022:QW76AVM52HFL4NNXWMLXS47KL3

not attested not anchored not stored refs pending

Spectral Inequalities For Anisotropic Shubin Operators

J\'er\'emy Martin (UR1 Math\'ematiques)

arxiv:2205.11868 v2 · 2022-05-24 · 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{QW76AVM52HFL4NNXWMLXS47KL3}

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	2026-07-05T04:54:20.687378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85bfe0559dd1cabe35b7b3177973ea5ee8b72cab77e4669429ef236495880d20

Aliases

arxiv: 2205.11868 · arxiv_version: 2205.11868v2 · doi: 10.48550/arxiv.2205.11868 · pith_short_12: QW76AVM52HFL · pith_short_16: QW76AVM52HFL4NNX · pith_short_8: QW76AVM5

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/QW76AVM52HFL4NNXWMLXS47KL3 \
  | 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: 85bfe0559dd1cabe35b7b3177973ea5ee8b72cab77e4669429ef236495880d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "579d9ae11bb3c151b742bfa234abd03edae61af0854af421bf1c486974a3904e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-05-24T07:40:26Z",
    "title_canon_sha256": "3ad365b547ebc6304104ad13522aee7a42a429833bde50df4ff7a616364c487a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.11868",
    "kind": "arxiv",
    "version": 2
  }
}