Pith Number

pith:JVXKXJKB

pith:2012:JVXKXJKBR7NMHSC3PK64NM2GN5

not attested not anchored not stored refs pending

Unifying Treatment of Discord via Relative Entropy

Jun Zhu, Lin Zhang, Shao-Ming Fei

arxiv:1206.4109 v3 · 2012-06-19 · 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{JVXKXJKBR7NMHSC3PK64NM2GN5}

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	2026-05-18T03:26:23.184113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d6eaba5418fdac3c85b7abdc6b3466f45b989d0121827523a2803008e635940

Aliases

arxiv: 1206.4109 · arxiv_version: 1206.4109v3 · doi: 10.48550/arxiv.1206.4109 · pith_short_12: JVXKXJKBR7NM · pith_short_16: JVXKXJKBR7NMHSC3 · pith_short_8: JVXKXJKB

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/JVXKXJKBR7NMHSC3PK64NM2GN5 \
  | 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: 4d6eaba5418fdac3c85b7abdc6b3466f45b989d0121827523a2803008e635940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0afe999dcdfded902bcb7765dbffd7492030b9a5362121f6b74670e240b569d7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-06-19T02:23:57Z",
    "title_canon_sha256": "b06ec39e510bc4ff8aded4f9028af0de2c1fd95e6dffb86975313166f51d4329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4109",
    "kind": "arxiv",
    "version": 3
  }
}