Pith Number

pith:EMZEO2OP

pith:2016:EMZEO2OPNMOA2MVV7PQVTDPRLS

not attested not anchored not stored refs pending

Majorization in C*-algebras

Leonel Robert, Paul Skoufranis, Ping Wong Ng

arxiv:1608.04350 v1 · 2016-08-15 · 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{EMZEO2OPNMOA2MVV7PQVTDPRLS}

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	2026-05-18T01:09:03.747255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23324769cf6b1c0d32b5fbe1598df15caa5d71c4a6e05a2629983f02af697a30

Aliases

arxiv: 1608.04350 · arxiv_version: 1608.04350v1 · doi: 10.48550/arxiv.1608.04350 · pith_short_12: EMZEO2OPNMOA · pith_short_16: EMZEO2OPNMOA2MVV · pith_short_8: EMZEO2OP

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/EMZEO2OPNMOA2MVV7PQVTDPRLS \
  | 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: 23324769cf6b1c0d32b5fbe1598df15caa5d71c4a6e05a2629983f02af697a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eae0df2f785dd01f407a18eb7974d2a5c605e991c384105c092790ff53fc673",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-08-15T18:10:49Z",
    "title_canon_sha256": "689771b58c37f9dd4d8ff936ea33dad98ed6a352baff18ff7523fac2af47b453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04350",
    "kind": "arxiv",
    "version": 1
  }
}