Pith Number

pith:P7UFPTPH

pith:2010:P7UFPTPHS67J4SZ2YG4NYFYTRK

not attested not anchored not stored refs pending

Low rank extremal PPT states and unextendible product bases

Jan Myrheim, Jon Magne Leinaas, Per {\O}yvind Sollid

arxiv:1003.1221 v1 · 2010-03-05 · 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{P7UFPTPHS67J4SZ2YG4NYFYTRK}

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	2026-05-18T03:23:49.097908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fe857cde797be9e4b3ac1b8dc17138a98add71cb59de036db523bf30cffaac9

Aliases

arxiv: 1003.1221 · arxiv_version: 1003.1221v1 · doi: 10.48550/arxiv.1003.1221 · pith_short_12: P7UFPTPHS67J · pith_short_16: P7UFPTPHS67J4SZ2 · pith_short_8: P7UFPTPH

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/P7UFPTPHS67J4SZ2YG4NYFYTRK \
  | 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: 7fe857cde797be9e4b3ac1b8dc17138a98add71cb59de036db523bf30cffaac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341bcac527ebe3c2c864a1e82a8d83bc8464645cf500d94db2cf9308d093b8da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-03-05T09:51:28Z",
    "title_canon_sha256": "3efde0c2280b93f27c2ecd1ec86184ee0b645f794c8d67313e07a38da4ee2c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1221",
    "kind": "arxiv",
    "version": 1
  }
}