Pith Number

pith:CYUMD3IK

pith:2013:CYUMD3IKGXWRRUALLRVUG5647K

not attested not anchored not stored refs pending

Strict comparison of projections and positive combinations of projections in certain multiplier algebras

P. W. Ng, Shuang Zhang, Victor Kaftal

arxiv:1305.0045 v1 · 2013-04-30 · 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{CYUMD3IKGXWRRUALLRVUG5647K}

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	2026-05-18T03:26:42.168705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1628c1ed0a35ed18d00b5c6b4377dcfa93a02e0b634d2a6b7178c279b948ca51

Aliases

arxiv: 1305.0045 · arxiv_version: 1305.0045v1 · doi: 10.48550/arxiv.1305.0045 · pith_short_12: CYUMD3IKGXWR · pith_short_16: CYUMD3IKGXWRRUAL · pith_short_8: CYUMD3IK

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/CYUMD3IKGXWRRUALLRVUG5647K \
  | 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: 1628c1ed0a35ed18d00b5c6b4377dcfa93a02e0b634d2a6b7178c279b948ca51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50580aa78e650dc58525ee2ff5e748d3232d9f32e803e4d994416b2135c7a49a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-04-30T22:38:26Z",
    "title_canon_sha256": "ed580e9361c0be3b995b094e91686b8614773f4faf6fddf34019f6c5be1a72c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0045",
    "kind": "arxiv",
    "version": 1
  }
}