Pith Number

pith:F25SXLJY

pith:2011:F25SXLJYPOB6LVBNPZ3DBGOQDG

not attested not anchored not stored refs pending

Rank properties of exposed positive maps

Marcin Marciniak

arxiv:1103.3497 v4 · 2011-03-17 · math.FA · 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{F25SXLJYPOB6LVBNPZ3DBGOQDG}

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	2026-05-18T02:49:18.761001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ebb2bad387b83e5d42d7e763099d019ba04e7d79d78c41e8a7ce9bc882ff784

Aliases

arxiv: 1103.3497 · arxiv_version: 1103.3497v4 · doi: 10.48550/arxiv.1103.3497 · pith_short_12: F25SXLJYPOB6 · pith_short_16: F25SXLJYPOB6LVBN · pith_short_8: F25SXLJY

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/F25SXLJYPOB6LVBNPZ3DBGOQDG \
  | 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: 2ebb2bad387b83e5d42d7e763099d019ba04e7d79d78c41e8a7ce9bc882ff784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "890d89cb8fea6aadda063591558c52079e819048192f13f31c03b1950f59f4a1",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-17T19:55:07Z",
    "title_canon_sha256": "7e7bea527521312aa07d84b223e0e0c1c9e9314547e850d5ed85075fd02d3e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3497",
    "kind": "arxiv",
    "version": 4
  }
}