Pith Number

pith:VP7SRWIE

pith:2012:VP7SRWIEFZZLVXBL6E2REPPL3B

not attested not anchored not stored refs pending

Projection decomposition in multiplier algebras

P. W. Ng, S. Zhang, V. Kaftal

arxiv:1201.4819 v1 · 2012-01-23 · math.OA · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VP7SRWIEFZZLVXBL6E2REPPL3B}

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	2026-05-18T04:04:05.175770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abff28d9042e72badc2bf135123debd86a3fe9d6fad2def148e14bc89d1c6547

Aliases

arxiv: 1201.4819 · arxiv_version: 1201.4819v1 · doi: 10.48550/arxiv.1201.4819 · pith_short_12: VP7SRWIEFZZL · pith_short_16: VP7SRWIEFZZLVXBL · pith_short_8: VP7SRWIE

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/VP7SRWIEFZZLVXBL6E2REPPL3B \
  | 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: abff28d9042e72badc2bf135123debd86a3fe9d6fad2def148e14bc89d1c6547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5729c8a55ef961a5e212fa041abded11f8b7b2f27faf5b10ba545bc6734a4c1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-23T19:13:17Z",
    "title_canon_sha256": "b8d203dd48d6b61bf7c3be526740ae43d3145e1391dd28e612ca44e7cefd38f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4819",
    "kind": "arxiv",
    "version": 1
  }
}