Pith Number

pith:AYD7GAXS

pith:2011:AYD7GAXSVOSVKVKYJ7HWTP6TSY

not attested not anchored not stored refs pending

Existence of product vectors and their partial conjugates in a pair of spaces

Jungseob Lee, Seung-Hyeok Kye, Young-Hoon Kiem

arxiv:1107.1023 v3 · 2011-07-06 · 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{AYD7GAXSVOSVKVKYJ7HWTP6TSY}

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	2026-05-18T02:01:24.357491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0607f302f2aba55555584fcf69bfd396073acb640c65d8645d1b62ab60f2635d

Aliases

arxiv: 1107.1023 · arxiv_version: 1107.1023v3 · doi: 10.48550/arxiv.1107.1023 · pith_short_12: AYD7GAXSVOSV · pith_short_16: AYD7GAXSVOSVKVKY · pith_short_8: AYD7GAXS

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/AYD7GAXSVOSVKVKYJ7HWTP6TSY \
  | 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: 0607f302f2aba55555584fcf69bfd396073acb640c65d8645d1b62ab60f2635d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "854b4f841a33457abbaf35bc1cc61d890f940e8da04f1585bc51585c83c8bdf1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-06T04:32:09Z",
    "title_canon_sha256": "2383d5950f3b3a723b9c8c3443dc8167412e343f7ee147007b30595ac59b517d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1023",
    "kind": "arxiv",
    "version": 3
  }
}