Pith Number

pith:I54VUDSK

pith:2012:I54VUDSKE3F5OUYEM2FIQJDFJ4

not attested not anchored not stored refs pending

Separable states with unique decompositions

Kil-Chan Ha, Seung-Hyeok Kye

arxiv:1210.1088 v5 · 2012-10-03 · quant-ph · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I54VUDSKE3F5OUYEM2FIQJDFJ4}

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	2026-05-18T02:47:16.281551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47795a0e4a26cbd75304668a8824654f00c2fc17d6e12d7c5913d3c8c55ad0f4

Aliases

arxiv: 1210.1088 · arxiv_version: 1210.1088v5 · doi: 10.48550/arxiv.1210.1088 · pith_short_12: I54VUDSKE3F5 · pith_short_16: I54VUDSKE3F5OUYE · pith_short_8: I54VUDSK

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/I54VUDSKE3F5OUYEM2FIQJDFJ4 \
  | 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: 47795a0e4a26cbd75304668a8824654f00c2fc17d6e12d7c5913d3c8c55ad0f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "361847c967200eecc3b9cd363793beec4a1f61c6caa71dd9ccc8bcee5e6564de",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-03T12:38:49Z",
    "title_canon_sha256": "18acc99ea9392784599f090a65e41bd69f3a6c73e35b3a6af1eb51a3b4df6854"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1088",
    "kind": "arxiv",
    "version": 5
  }
}