Pith Number

pith:54FDI7XN

pith:2014:54FDI7XNQBCCPJDJ3FBS5BVA5F

not attested not anchored not stored refs pending

Higher Order Derivatives in Costa's Entropy Power Inequality

Fan Cheng, Yanlin Geng

arxiv:1409.5543 v3 · 2014-09-19 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54FDI7XNQBCCPJDJ3FBS5BVA5F}

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	2026-05-18T01:35:57.195832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0a347eed804427a469d9432e86a0e96525c9cafdd1cb597e9f002c01a022b7

Aliases

arxiv: 1409.5543 · arxiv_version: 1409.5543v3 · doi: 10.48550/arxiv.1409.5543 · pith_short_12: 54FDI7XNQBCC · pith_short_16: 54FDI7XNQBCCPJDJ · pith_short_8: 54FDI7XN

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/54FDI7XNQBCCPJDJ3FBS5BVA5F \
  | 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: ef0a347eed804427a469d9432e86a0e96525c9cafdd1cb597e9f002c01a022b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643a81ce8ea0e2c12e47ab2710fd83844e325c81ed8564c12ded2bb1cc160009",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-09-19T08:14:27Z",
    "title_canon_sha256": "9f2e90ac91491a28d1924f6ade7ac67b6df9ff7947c42235538fdf1b3dfc10b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5543",
    "kind": "arxiv",
    "version": 3
  }
}