Pith Number

pith:O7TSTOBC

pith:2012:O7TSTOBCLCG252B34QYS2WO64X

not attested not anchored not stored refs pending

Noncommutative Phase Spaces on Aristotle group

Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonard Todjihounde

arxiv:1212.6329 v2 · 2012-12-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O7TSTOBCLCG252B34QYS2WO64X}

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	2026-05-18T03:17:34.123371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e729b822588daee83be4312d59dee5eff9cca3ce8bc2c187e097920d03d7e0

Aliases

arxiv: 1212.6329 · arxiv_version: 1212.6329v2 · doi: 10.48550/arxiv.1212.6329 · pith_short_12: O7TSTOBCLCG2 · pith_short_16: O7TSTOBCLCG252B3 · pith_short_8: O7TSTOBC

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/O7TSTOBCLCG252B34QYS2WO64X \
  | 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: 77e729b822588daee83be4312d59dee5eff9cca3ce8bc2c187e097920d03d7e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a0d8599f58e1231a3e86f6b5983a4ccae4957a6fc1e99652748ab2a1508bc2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-27T09:03:40Z",
    "title_canon_sha256": "0fb5fa8be1f612d18e7aff6c4e188e4ba14e8ff232d0c6bbad3594cd6f344d5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6329",
    "kind": "arxiv",
    "version": 2
  }
}