Pith Number

pith:FE7LP2H6

pith:2011:FE7LP2H6C372IOC5EER3BRLNKL

not attested not anchored not stored refs pending

On some special cases of the Entropy Photon-Number Inequality

Naresh Sharma, Siddharth Muthukrishnan, Smarajit Das

arxiv:1107.2365 v1 · 2011-07-12 · quant-ph · 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{FE7LP2H6C372IOC5EER3BRLNKL}

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	2026-05-18T03:32:59.065889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

293eb7e8fe16ffa4385d2123b0c56d52d4ed14cd67840be31380c424d0421b7a

Aliases

arxiv: 1107.2365 · arxiv_version: 1107.2365v1 · doi: 10.48550/arxiv.1107.2365 · pith_short_12: FE7LP2H6C372 · pith_short_16: FE7LP2H6C372IOC5 · pith_short_8: FE7LP2H6

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/FE7LP2H6C372IOC5EER3BRLNKL \
  | 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: 293eb7e8fe16ffa4385d2123b0c56d52d4ed14cd67840be31380c424d0421b7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9886dcfb8b7020b6c8ab1f138acd9c376fb552d7ff641feb0b096415b1d403be",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-12T18:32:31Z",
    "title_canon_sha256": "df18eb7ccb3007d2e70d57f40ed507b44b76f931a3f6cfee60750ddf50c9decf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2365",
    "kind": "arxiv",
    "version": 1
  }
}