Pith Number

pith:OUBIAQCM

pith:2010:OUBIAQCMBRDBGXOKUQODCGOH2C

not attested not anchored not stored refs pending

Min- and Max-Entropy in Infinite Dimensions

Fabian Furrer, Johan Aberg, Renato Renner

arxiv:1004.1386 v2 · 2010-04-08 · 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{OUBIAQCMBRDBGXOKUQODCGOH2C}

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	2026-05-18T04:12:55.071470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750280404c0c46135dcaa41c3119c7d0b506fc995daa3fed64c584626eb45fac

Aliases

arxiv: 1004.1386 · arxiv_version: 1004.1386v2 · doi: 10.48550/arxiv.1004.1386 · pith_short_12: OUBIAQCMBRDB · pith_short_16: OUBIAQCMBRDBGXOK · pith_short_8: OUBIAQCM

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/OUBIAQCMBRDBGXOKUQODCGOH2C \
  | 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: 750280404c0c46135dcaa41c3119c7d0b506fc995daa3fed64c584626eb45fac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10631de65939c42fd4e669566eb5642dc30119270b5766a848cf6ad3cdc58440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-04-08T18:01:59Z",
    "title_canon_sha256": "4e55117c04c0255cd1619611c6dbf0f8d1a1c977a04ab157f8305816777f08b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1386",
    "kind": "arxiv",
    "version": 2
  }
}