Pith Number

pith:E3TL6DJA

pith:2011:E3TL6DJAVDNC3ECQICFTR7V4QQ

not attested not anchored not stored refs pending

Exposed faces for decomposable positive linear maps arising from completely positive maps

Hyun-Suk Choi, Seung-Hyeok Kye

arxiv:1106.1247 v1 · 2011-06-07 · math-ph · math.MP · 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{E3TL6DJAVDNC3ECQICFTR7V4QQ}

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	2026-05-18T04:20:24.130812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26e6bf0d20a8da2d9050408b38febc843d38d773dec8e2444cef16b2ce06ef00

Aliases

arxiv: 1106.1247 · arxiv_version: 1106.1247v1 · doi: 10.48550/arxiv.1106.1247 · pith_short_12: E3TL6DJAVDNC · pith_short_16: E3TL6DJAVDNC3ECQ · pith_short_8: E3TL6DJA

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/E3TL6DJAVDNC3ECQICFTR7V4QQ \
  | 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: 26e6bf0d20a8da2d9050408b38febc843d38d773dec8e2444cef16b2ce06ef00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e23d0dd91a0db80e7174d668f64ccfa16a74ac933cff47818c903c5481d78bb0",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-07T01:50:35Z",
    "title_canon_sha256": "b2973c7891109a5454bd22753dd2cb7a6879717860c95eb25f72269464c361c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1247",
    "kind": "arxiv",
    "version": 1
  }
}