Pith Number

pith:TMIMDWUE

pith:2012:TMIMDWUETRWH6MMS62UKF35S4L

not attested not anchored not stored refs pending

Inclusions of ternary rings of operators and conditional expectations

Adam Skalski, Pekka Salmi

arxiv:1209.4575 v3 · 2012-09-20 · 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{TMIMDWUETRWH6MMS62UKF35S4L}

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	2026-05-18T01:54:20.595006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b10c1da849c6c7f3192f6a8a2efb2e2cc8b2081a0cf11cefd3a85ccf345a953

Aliases

arxiv: 1209.4575 · arxiv_version: 1209.4575v3 · doi: 10.48550/arxiv.1209.4575 · pith_short_12: TMIMDWUETRWH · pith_short_16: TMIMDWUETRWH6MMS · pith_short_8: TMIMDWUE

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/TMIMDWUETRWH6MMS62UKF35S4L \
  | 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: 9b10c1da849c6c7f3192f6a8a2efb2e2cc8b2081a0cf11cefd3a85ccf345a953

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d49c3bd5389d5ea8d61273afb110e69038694c41126672b176ff307f415037a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-09-20T16:10:55Z",
    "title_canon_sha256": "d69ddf18121af43a10e14060de47b6db2dcc7fb4630968f9809557bd55496a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4575",
    "kind": "arxiv",
    "version": 3
  }
}