Pith Number

pith:HTL2HR5L

pith:2011:HTL2HR5LFQ22KL5ZT3BDQYKA4A

not attested not anchored not stored refs pending

The theory of manipulations of pure state asymmetry: basic tools and equivalence classes of states under symmetric operations

Iman Marvian, Robert W. Spekkens

arxiv:1104.0018 v2 · 2011-03-31 · 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{HTL2HR5LFQ22KL5ZT3BDQYKA4A}

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.

Cited by

1 paper in Pith

Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond

Receipt and verification

First computed	2026-05-18T03:16:19.284327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cd7a3c7ab2c35a52fb99ec2386140e0023d4f61afe422acc8731a29e9ebef83

Aliases

arxiv: 1104.0018 · arxiv_version: 1104.0018v2 · doi: 10.48550/arxiv.1104.0018 · pith_short_12: HTL2HR5LFQ22 · pith_short_16: HTL2HR5LFQ22KL5Z · pith_short_8: HTL2HR5L

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/HTL2HR5LFQ22KL5ZT3BDQYKA4A \
  | 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: 3cd7a3c7ab2c35a52fb99ec2386140e0023d4f61afe422acc8731a29e9ebef83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad8480577cd630c90ec7abd8cace28a614d27bf7545043a94066d44e041d5a2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-31T20:07:37Z",
    "title_canon_sha256": "639b4b4db0e47de15e21dcd78d424f0097bdfa8d16d0ed21f5e5a3f2cf2104de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0018",
    "kind": "arxiv",
    "version": 2
  }
}