Pith Number

pith:O6OJL25B

pith:2014:O6OJL25BRYYLJAMCA5EX6IZ3RA

not attested not anchored not stored refs pending

Necessary and sufficient conditions for positive semidefinite quantum mutual information matrices

Fei Gao, Feng Liu, Qiao-Yan Wen, Su-Juan Qin

arxiv:1410.7245 v1 · 2014-10-27 · 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{O6OJL25BRYYLJAMCA5EX6IZ3RA}

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	2026-05-18T02:39:17.733602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

779c95eba18e30b4818207497f233b88186d2c17885b19b55070297cd0eed976

Aliases

arxiv: 1410.7245 · arxiv_version: 1410.7245v1 · doi: 10.48550/arxiv.1410.7245 · pith_short_12: O6OJL25BRYYL · pith_short_16: O6OJL25BRYYLJAMC · pith_short_8: O6OJL25B

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/O6OJL25BRYYLJAMCA5EX6IZ3RA \
  | 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: 779c95eba18e30b4818207497f233b88186d2c17885b19b55070297cd0eed976

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6973d97492a5a3adf827a052b61b12d95259a07e82c8c59a10ab995509a0ccdc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-10-27T14:05:14Z",
    "title_canon_sha256": "589bda12cdd8c3c527305f1648aed4ddf358578d2a7df197a5b3d5c3a9c48397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7245",
    "kind": "arxiv",
    "version": 1
  }
}