Pith Number

pith:FTM3WIJH

pith:2010:FTM3WIJHKSESA45TP7I3Q5YGRK

not attested not anchored not stored refs pending

Conditions for entanglement in multipartite systems

Hongjun Zheng, Ho Trung Dung, Mark Hillery

arxiv:1005.4453 v1 · 2010-05-24 · 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{FTM3WIJHKSESA45TP7I3Q5YGRK}

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	2026-05-18T02:07:14.912180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd9bb212754892073b37fd1b877068aa0eb6e849c8b8768b898c91fbf9b78d4

Aliases

arxiv: 1005.4453 · arxiv_version: 1005.4453v1 · doi: 10.48550/arxiv.1005.4453 · pith_short_12: FTM3WIJHKSES · pith_short_16: FTM3WIJHKSESA45T · pith_short_8: FTM3WIJH

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/FTM3WIJHKSESA45TP7I3Q5YGRK \
  | 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: 2cd9bb212754892073b37fd1b877068aa0eb6e849c8b8768b898c91fbf9b78d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d6755fd7989720f0f2fbc6ea62dc520a4bac093c313db3dbfd84702da9b9b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-05-24T23:11:38Z",
    "title_canon_sha256": "725cb9508a7e60dc4adee91d550a1413bc74d80e356344bbaabce9230c371af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4453",
    "kind": "arxiv",
    "version": 1
  }
}