Pith Number

pith:6HJRRGPO

pith:2012:6HJRRGPONK5KWCTPRHE4QSWZ3T

not attested not anchored not stored refs pending

Refined support and entropic uncertainty inequalities

Benjamin Ricaud, Bruno Torr\'esani

arxiv:1210.7711 v1 · 2012-10-29 · 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{6HJRRGPONK5KWCTPRHE4QSWZ3T}

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	2026-05-18T03:42:09Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d31899ee6abaab0a6f89c9c84ad9dce14c7bae1b08999098d3d0da9c499350

Aliases

arxiv: 1210.7711 · arxiv_version: 1210.7711v1 · doi: 10.48550/arxiv.1210.7711 · pith_short_12: 6HJRRGPONK5K · pith_short_16: 6HJRRGPONK5KWCTP · pith_short_8: 6HJRRGPO

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/6HJRRGPONK5KWCTPRHE4QSWZ3T \
  | 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: f1d31899ee6abaab0a6f89c9c84ad9dce14c7bae1b08999098d3d0da9c499350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5455d53f72ea68ea1bb8cc7255fd305d095a021569ea292b2918acdea572e20a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-10-29T16:19:38Z",
    "title_canon_sha256": "8439b6668b89013f63898b41bf3424aea95407b17bc98ad0156d522e9d4d7e9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7711",
    "kind": "arxiv",
    "version": 1
  }
}