Pith Number

pith:FLG7XRNY

pith:2013:FLG7XRNYHKIGFGUND6QBT5QQ3N

not attested not anchored not stored refs pending

Rigorous bounds for Renyi entropies of spherically symmetric potentials

Jesus S. Dehesa, Pablo S\'anchez-Moreno, Steeve Zozor

arxiv:1305.5334 v1 · 2013-05-23 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLG7XRNYHKIGFGUND6QBT5QQ3N}

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	2026-05-18T03:25:05.073410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2acdfbc5b83a90629a8d1fa019f610db7c08feeb623f35169ca31783443e0a2b

Aliases

arxiv: 1305.5334 · arxiv_version: 1305.5334v1 · doi: 10.48550/arxiv.1305.5334 · pith_short_12: FLG7XRNYHKIG · pith_short_16: FLG7XRNYHKIGFGUN · pith_short_8: FLG7XRNY

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/FLG7XRNYHKIGFGUND6QBT5QQ3N \
  | 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: 2acdfbc5b83a90629a8d1fa019f610db7c08feeb623f35169ca31783443e0a2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c22466c32aa0f1b1e7cff154d02caefcd2f47f0f8477a9d4f7c77f8c02dd6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-05-23T07:13:49Z",
    "title_canon_sha256": "9033a319136fe6c4f2a72759da52f13be5bf4ba6271cd1e6cb9d7bbddbc2276e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5334",
    "kind": "arxiv",
    "version": 1
  }
}