Pith Number

pith:LCAG6LZP

pith:2017:LCAG6LZPEXMBO4T4LIUM27LYCX

not attested not anchored not stored refs pending

Centered Sobolev inequality and exponential convergence in $\Phi$-entropy

Liming Wu, Lingyan Cheng

arxiv:1703.00491 v1 · 2017-03-01 · 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{LCAG6LZPEXMBO4T4LIUM27LYCX}

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	2026-05-18T00:49:41.534395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58806f2f2f25d817727c5a28cd7d7815f1746054d01c50581a697d7b3dbac3de

Aliases

arxiv: 1703.00491 · arxiv_version: 1703.00491v1 · doi: 10.48550/arxiv.1703.00491 · pith_short_12: LCAG6LZPEXMB · pith_short_16: LCAG6LZPEXMBO4T4 · pith_short_8: LCAG6LZP

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/LCAG6LZPEXMBO4T4LIUM27LYCX \
  | 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: 58806f2f2f25d817727c5a28cd7d7815f1746054d01c50581a697d7b3dbac3de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d31fd4647027c03fdeccdbab1f31ea4534c110daf30d6f73e676565752580050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-01T20:52:41Z",
    "title_canon_sha256": "d8dae94c83f41bb3215e7d3d8280e763048e49197a5cac643e3ed10f021a6aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00491",
    "kind": "arxiv",
    "version": 1
  }
}