Pith Number

pith:MFJBKPCG

pith:2013:MFJBKPCGFHVOWCAUZNDMR27ZPJ

not attested not anchored not stored refs pending

Conditions for degradability of tripartite quantum states

Chi-Hang Fred Fung, Chi-Kwong Li, H. F. Chau, Nung-sing Sze

arxiv:1308.6359 v2 · 2013-08-29 · 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{MFJBKPCGFHVOWCAUZNDMR27ZPJ}

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	2026-05-18T02:52:14.925943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6152153c4629eaeb0814cb46c8ebf97a673a8db2861850ee28b9f99bddc58e25

Aliases

arxiv: 1308.6359 · arxiv_version: 1308.6359v2 · doi: 10.48550/arxiv.1308.6359 · pith_short_12: MFJBKPCGFHVO · pith_short_16: MFJBKPCGFHVOWCAU · pith_short_8: MFJBKPCG

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/MFJBKPCGFHVOWCAUZNDMR27ZPJ \
  | 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: 6152153c4629eaeb0814cb46c8ebf97a673a8db2861850ee28b9f99bddc58e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00de18730610906a5fdf5f1bc912add8b9b1fdfce3c44f26ffe5a4d914987bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-29T04:07:18Z",
    "title_canon_sha256": "d0bee8adbaf8ffa10e6db5ffced4aeac86774e2340e404a599d71bd61810b4c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6359",
    "kind": "arxiv",
    "version": 2
  }
}