Pith Number

pith:TBFPXVVG

pith:2015:TBFPXVVGOUZXZ3HAQAEUFYLEZQ

not attested not anchored not stored refs pending

Entanglement quantification made easy: Polynomial measures invariant under convex decomposition

Bartosz Regula, Gerardo Adesso

arxiv:1512.03326 v3 · 2015-12-10 · quant-ph · cond-mat.stat-mech · hep-th · math-ph · math.MP · physics.comp-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{TBFPXVVGOUZXZ3HAQAEUFYLEZQ}

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	2026-05-18T01:20:16.376981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

984afbd6a675337cece0800942e164cc0b80028ad85b4ef8bcc4de8521e82ace

Aliases

arxiv: 1512.03326 · arxiv_version: 1512.03326v3 · doi: 10.48550/arxiv.1512.03326 · pith_short_12: TBFPXVVGOUZX · pith_short_16: TBFPXVVGOUZXZ3HA · pith_short_8: TBFPXVVG

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/TBFPXVVGOUZXZ3HAQAEUFYLEZQ \
  | 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: 984afbd6a675337cece0800942e164cc0b80028ad85b4ef8bcc4de8521e82ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b788a267b505379be49a337d95a79870e81f6739fd77018a42d978555d380c56",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-10T17:07:16Z",
    "title_canon_sha256": "102f682177d7a598debb3fb0cd57c4ccc82f87f91a22df6862f4773ac190d038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03326",
    "kind": "arxiv",
    "version": 3
  }
}