Pith Number

pith:MFWGG4B2

pith:2011:MFWGG4B2WMGMBPOMJ3WX4WSKXH

not attested not anchored not stored refs pending

Infinitely many constrained inequalities for the von Neumann entropy

Andreas Winter, Josh Cadney, Noah Linden

arxiv:1107.0624 v1 · 2011-07-04 · quant-ph · 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{MFWGG4B2WMGMBPOMJ3WX4WSKXH}

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.

Cited by

2 papers in Pith

Lectures on entanglement entropy in field theory and holography

Quantum Bit Threads and the Entropohedron

Receipt and verification

First computed	2026-05-18T03:42:11.956456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

616c63703ab30cc0bdcc4eed7e5a4ab9f1eb888b1525528368560fcb4874f73a

Aliases

arxiv: 1107.0624 · arxiv_version: 1107.0624v1 · doi: 10.48550/arxiv.1107.0624 · pith_short_12: MFWGG4B2WMGM · pith_short_16: MFWGG4B2WMGMBPOM · pith_short_8: MFWGG4B2

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/MFWGG4B2WMGMBPOMJ3WX4WSKXH \
  | 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: 616c63703ab30cc0bdcc4eed7e5a4ab9f1eb888b1525528368560fcb4874f73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1ff7c1f15c3a996a974710f6ca8afdda9c39c6e524af64c15dd6de8a8e752f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-04T13:45:48Z",
    "title_canon_sha256": "60ef80266bb667e867470471903d0eca90eac145e6b6cd560574dd2e3a72d0a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0624",
    "kind": "arxiv",
    "version": 1
  }
}