Pith Number

pith:BBNF2L2N

pith:2010:BBNF2L2N4NOPBO6RRCYKOUX3K2

not attested not anchored not stored refs pending

Entropic uncertainty relations for extremal unravelings of super-operators

Alexey E. Rastegin

arxiv:1006.4699 v3 · 2010-06-24 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBNF2L2N4NOPBO6RRCYKOUX3K2}

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	2026-05-18T02:06:42.915790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085a5d2f4de35cf0bbd188b0a752fb5687ac870743a3352d69a84ac2e0c4ea0c

Aliases

arxiv: 1006.4699 · arxiv_version: 1006.4699v3 · doi: 10.48550/arxiv.1006.4699 · pith_short_12: BBNF2L2N4NOP · pith_short_16: BBNF2L2N4NOPBO6R · pith_short_8: BBNF2L2N

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/BBNF2L2N4NOPBO6RRCYKOUX3K2 \
  | 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: 085a5d2f4de35cf0bbd188b0a752fb5687ac870743a3352d69a84ac2e0c4ea0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef8adc4c413147f7835cdd75efb025020d03c1cdb3c7e76d3ceaecc531f6fc4e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-06-24T07:22:13Z",
    "title_canon_sha256": "90a98c4413c14c1d6665ee4851a25ea45e36972551c4a204219af0567c1e8bb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4699",
    "kind": "arxiv",
    "version": 3
  }
}