Pith Number

pith:AA6FXJRQ

pith:2017:AA6FXJRQSIM2BTZRWBJZV35MKS

not attested not anchored not stored refs pending

Rellich inequalities for sub-Laplacians with drift

Michael Ruzhansky, Nurgissa Yessirkegenov

arxiv:1707.03731 v1 · 2017-07-12 · math.FA · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AA6FXJRQSIM2BTZRWBJZV35MKS}

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	2026-05-18T00:40:25.153379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

003c5ba6309219a0cf31b0539aefac54bcfc8bfb26383e7808076b11ce6e51fd

Aliases

arxiv: 1707.03731 · arxiv_version: 1707.03731v1 · doi: 10.48550/arxiv.1707.03731 · pith_short_12: AA6FXJRQSIM2 · pith_short_16: AA6FXJRQSIM2BTZR · pith_short_8: AA6FXJRQ

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/AA6FXJRQSIM2BTZRWBJZV35MKS \
  | 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: 003c5ba6309219a0cf31b0539aefac54bcfc8bfb26383e7808076b11ce6e51fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ab1359d726781efc2bbca0fda66b942b1bd6ef78e2dbb5dd9e7646472ff00b",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-07-12T14:11:51Z",
    "title_canon_sha256": "fd66cfdba77d8eb1070be29691678c4e7f03c8b90b9e3dedd5250d9dd8387571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03731",
    "kind": "arxiv",
    "version": 1
  }
}