Pith Number

pith:MLSCGZRH

pith:2002:MLSCGZRH6KMQGPHR4ENBQEGEES

not attested not anchored not stored refs pending

Adding tails to C*-correspondences

Mark Tomforde, Paul S. Muhly

arxiv:math/0212277 v5 · 2002-12-19 · 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{MLSCGZRH6KMQGPHR4ENBQEGEES}

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	2026-07-04T14:36:50.661252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e4236627f299033cf1e11a1810c4249d9ff9e90e28a93eb1553cfe93f022c5

Aliases

arxiv: math/0212277 · arxiv_version: math/0212277v5 · doi: 10.48550/arxiv.math/0212277 · pith_short_12: MLSCGZRH6KMQ · pith_short_16: MLSCGZRH6KMQGPHR · pith_short_8: MLSCGZRH

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/MLSCGZRH6KMQGPHR4ENBQEGEES \
  | 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: 62e4236627f299033cf1e11a1810c4249d9ff9e90e28a93eb1553cfe93f022c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad60839fb63584d02114db98977d880729260d69681e9b23d578275bef5f17cc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2002-12-19T19:29:02Z",
    "title_canon_sha256": "860c82a65f0258ec9dd0c55329234105cbe11889fc906293c83d71a4980a0e02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0212277",
    "kind": "arxiv",
    "version": 5
  }
}