Pith Number

pith:A5OOPQEL

pith:2013:A5OOPQELFTQS6P5JEVL2BTQPDB

not attested not anchored not stored refs pending

Upper bound and shareability of quantum discord based on entropic uncertainty relations

Heng Fan, Ming-Liang Hu

arxiv:1301.7240 v3 · 2013-01-30 · 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{A5OOPQELFTQS6P5JEVL2BTQPDB}

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	2026-05-18T03:17:14.550659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

075ce7c08b2ce12f3fa92557a0ce0f184bebca8b3579fd925c82f51aa970cac9

Aliases

arxiv: 1301.7240 · arxiv_version: 1301.7240v3 · doi: 10.48550/arxiv.1301.7240 · pith_short_12: A5OOPQELFTQS · pith_short_16: A5OOPQELFTQS6P5J · pith_short_8: A5OOPQEL

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/A5OOPQELFTQS6P5JEVL2BTQPDB \
  | 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: 075ce7c08b2ce12f3fa92557a0ce0f184bebca8b3579fd925c82f51aa970cac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b59f02eb559f30d249b1536ecfe4624a9b480df7231b6a1351bdd8f00810ed1c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-01-30T14:26:39Z",
    "title_canon_sha256": "111e4b73ede1ef071c3524000ad69721296ce7f0996196fbb592c9c2fdcd3617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7240",
    "kind": "arxiv",
    "version": 3
  }
}