Pith Number

pith:YSGDPLR4

pith:2009:YSGDPLR4MEVSKEABOISKY5QFRU

not attested not anchored not stored refs pending

Exactness of universal free products of finite dimensional $C^*$-algebras with amalgamation

Benton L. Duncan

arxiv:0901.2312 v2 · 2009-01-15 · 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{YSGDPLR4MEVSKEABOISKY5QFRU}

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	2026-05-18T03:17:57.818308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48c37ae3c612b2510017224ac76058d2e26048a278d435a5048260f89d612c8

Aliases

arxiv: 0901.2312 · arxiv_version: 0901.2312v2 · doi: 10.48550/arxiv.0901.2312 · pith_short_12: YSGDPLR4MEVS · pith_short_16: YSGDPLR4MEVSKEAB · pith_short_8: YSGDPLR4

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/YSGDPLR4MEVSKEABOISKY5QFRU \
  | 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: c48c37ae3c612b2510017224ac76058d2e26048a278d435a5048260f89d612c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca28adc29b1ebdfdff0fc3a5918aa14c1c5938a245d126b50d2e7b605eb6fad6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-01-15T16:53:15Z",
    "title_canon_sha256": "331420e5f91b8454f2e34657e29acca1305762080090aae870f950002f0fd59c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2312",
    "kind": "arxiv",
    "version": 2
  }
}