Pith Number

pith:6QP7JYAV

pith:2007:6QP7JYAVODMUIGFHFVPNDOS4TV

not attested not anchored not stored refs pending

The tripartite separability of density matrices of graphs

Zhen Wang, Zhixi Wang

arxiv:0705.2561 v2 · 2007-05-17 · 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{6QP7JYAVODMUIGFHFVPNDOS4TV}

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	2026-05-18T04:24:04.466551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41ff4e01570d94418a72d5ed1ba5c9d64a848fbf8de8638801f054f177614b6

Aliases

arxiv: 0705.2561 · arxiv_version: 0705.2561v2 · doi: 10.48550/arxiv.0705.2561 · pith_short_12: 6QP7JYAVODMU · pith_short_16: 6QP7JYAVODMUIGFH · pith_short_8: 6QP7JYAV

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/6QP7JYAVODMUIGFHFVPNDOS4TV \
  | 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: f41ff4e01570d94418a72d5ed1ba5c9d64a848fbf8de8638801f054f177614b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d11e3c2aa7e1bbf4c977500eae936ab9117b7ffc56e01de2c68d8a8f60a0571",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-05-17T16:30:19Z",
    "title_canon_sha256": "ab8f241f790d4b1bb252e3a03994c64d0088f82c2a0dac6672607a81e6b47773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2561",
    "kind": "arxiv",
    "version": 2
  }
}