Pith Number

pith:D7RP3YEI

pith:2014:D7RP3YEIMTOKI4IWKN7NFWHFQ3

not attested not anchored not stored refs pending

Stability results for logarithmic Sobolev and Gagliardo-Nirenberg inequalities

Giuseppe Toscani, Jean Dolbeault (CEREMADE)

arxiv:1412.0475 v2 · 2014-12-01 · 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{D7RP3YEIMTOKI4IWKN7NFWHFQ3}

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	2026-05-18T02:03:50.744829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fe2fde08864dca47116537ed2d8e586cc7f7b92cbe443ec3632099f3fdcf628

Aliases

arxiv: 1412.0475 · arxiv_version: 1412.0475v2 · doi: 10.48550/arxiv.1412.0475 · pith_short_12: D7RP3YEIMTOK · pith_short_16: D7RP3YEIMTOKI4IW · pith_short_8: D7RP3YEI

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/D7RP3YEIMTOKI4IWKN7NFWHFQ3 \
  | 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: 1fe2fde08864dca47116537ed2d8e586cc7f7b92cbe443ec3632099f3fdcf628

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9544550708ae79eab034885e620cdef1080fc63bfc218a2938dc9a02aa0b6a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-01T13:44:21Z",
    "title_canon_sha256": "ea76e9439c5cfde32b8ea7b0e4757b2836c8267fef16b26389aeec6c27598a17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0475",
    "kind": "arxiv",
    "version": 2
  }
}