Pith Number

pith:V6OBDXOB

pith:2011:V6OBDXOBT6PKLOSV2DN42KGNEX

not attested not anchored not stored refs pending

Noncommutative orders. A preliminary study

Tomasz Brzezi\'nski

arxiv:1106.0421 v1 · 2011-06-02 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6OBDXOBT6PKLOSV2DN42KGNEX}

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	2026-05-18T04:18:44.382561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af9c11ddc19f9ea5ba55d0dbcd28cd25d9f40442e6f754b69f97a798758de37e

Aliases

arxiv: 1106.0421 · arxiv_version: 1106.0421v1 · doi: 10.48550/arxiv.1106.0421 · pith_short_12: V6OBDXOBT6PK · pith_short_16: V6OBDXOBT6PKLOSV · pith_short_8: V6OBDXOB

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/V6OBDXOBT6PKLOSV2DN42KGNEX \
  | 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: af9c11ddc19f9ea5ba55d0dbcd28cd25d9f40442e6f754b69f97a798758de37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90182db96661445082aac87a751e9b846819d95dc30f1f6511ecf41cc9127eed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-06-02T13:01:32Z",
    "title_canon_sha256": "999f3d18815fe8819c3016249414604f75e59481bdff2c8381816cf063aa8e51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0421",
    "kind": "arxiv",
    "version": 1
  }
}