Pith Number

pith:ACY3HH6J

pith:2018:ACY3HH6JKFWTYPTA5DL5WL3KW6

not attested not anchored not stored refs pending

Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions

Li Gao, Marius Junge, Nicolas LaRacuente

arxiv:1807.08838 v1 · 2018-07-23 · math.FA · cs.IT · math.IT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACY3HH6JKFWTYPTA5DL5WL3KW6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:09:57.666565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b1b39fc9516d3c3e60e8d7db2f6ab7a3fc9a55bf9e8788e83b7f9ca59ebc15

Aliases

arxiv: 1807.08838 · arxiv_version: 1807.08838v1 · doi: 10.48550/arxiv.1807.08838 · pith_short_12: ACY3HH6JKFWT · pith_short_16: ACY3HH6JKFWTYPTA · pith_short_8: ACY3HH6J

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/ACY3HH6JKFWTYPTA5DL5WL3KW6 \
  | 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: 00b1b39fc9516d3c3e60e8d7db2f6ab7a3fc9a55bf9e8788e83b7f9ca59ebc15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c0928e4ea176972bcaea63ca0bf6f259c7db82801b1a628f8db819d766acdba",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-07-23T21:35:44Z",
    "title_canon_sha256": "e1aa38a3d57ec746ed8de7b7af3cfe39b66d82f9635791d36ab329a05be112a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08838",
    "kind": "arxiv",
    "version": 1
  }
}