Pith Number

pith:GONAHZX2

pith:2012:GONAHZX2KJOJNBHWTXYKGAD3L6

not attested not anchored not stored refs pending

Multi-partite $W-$type state is determined by its single particle reduced density matrices

Nengkun Yu

arxiv:1208.1091 v2 · 2012-08-06 · 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{GONAHZX2KJOJNBHWTXYKGAD3L6}

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	2026-05-18T03:12:46.523110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

339a03e6fa525c9684f69df0a3007b5fae3bfebe4205b47536cb76731ac392e0

Aliases

arxiv: 1208.1091 · arxiv_version: 1208.1091v2 · doi: 10.48550/arxiv.1208.1091 · pith_short_12: GONAHZX2KJOJ · pith_short_16: GONAHZX2KJOJNBHW · pith_short_8: GONAHZX2

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/GONAHZX2KJOJNBHWTXYKGAD3L6 \
  | 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: 339a03e6fa525c9684f69df0a3007b5fae3bfebe4205b47536cb76731ac392e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cbba3ae0e07c10ab3d2369f8560c83ad1aee94e4b9e1623f8a959d199cbc52e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-06T06:01:21Z",
    "title_canon_sha256": "b2d1043e6ad2a99fffed6b033d3475085704a8096d28030f1e693c86a862634b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1091",
    "kind": "arxiv",
    "version": 2
  }
}