Pith Number

pith:B6D7DPTG

pith:2013:B6D7DPTGG4YXAZOQJUYPB7EG3I

not attested not anchored not stored refs pending

The log-Sobolev inequality for the ground state of a Schr\"odinger operator on bounded convex domains

Dejun Luo, Huaiqian Li

arxiv:1301.0177 v3 · 2013-01-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6D7DPTGG4YXAZOQJUYPB7EG3I}

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	2026-05-18T03:31:20.490731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f87f1be6637317065d04d30f0fc86da272c7631636158c91a8deb0e3d19d11a

Aliases

arxiv: 1301.0177 · arxiv_version: 1301.0177v3 · doi: 10.48550/arxiv.1301.0177 · pith_short_12: B6D7DPTGG4YX · pith_short_16: B6D7DPTGG4YXAZOQ · pith_short_8: B6D7DPTG

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/B6D7DPTGG4YXAZOQJUYPB7EG3I \
  | 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: 0f87f1be6637317065d04d30f0fc86da272c7631636158c91a8deb0e3d19d11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53d76eb05d5c8cf81a0fb9797342e1a10de776f28e1b0ec92f3612508a2e6ee7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-02T07:07:48Z",
    "title_canon_sha256": "175896333d58f992f4ca531bbe02525da08dcb9f9f09fc20df792c68c774ef3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0177",
    "kind": "arxiv",
    "version": 3
  }
}