Pith Number

pith:2MVIFMTW

pith:2012:2MVIFMTWPFUENWR3HIK6OLZ2ZD

not attested not anchored not stored refs pending

Quasi-isometry and finite presentations of left cancellative monoids

Mark Kambites, Robert D. Gray

arxiv:1204.2384 v1 · 2012-04-11 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MVIFMTWPFUENWR3HIK6OLZ2ZD}

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	2026-05-18T03:58:05.434860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32a82b276796846da3b3a15e72f3ac8e23260cb6ecb3294b8d1ac26cab05227

Aliases

arxiv: 1204.2384 · arxiv_version: 1204.2384v1 · doi: 10.48550/arxiv.1204.2384 · pith_short_12: 2MVIFMTWPFUE · pith_short_16: 2MVIFMTWPFUENWR3 · pith_short_8: 2MVIFMTW

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/2MVIFMTWPFUENWR3HIK6OLZ2ZD \
  | 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: d32a82b276796846da3b3a15e72f3ac8e23260cb6ecb3294b8d1ac26cab05227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d35eaa898ff151a0b850ecb9cac0308bcc22d2049187153ad6026a98b56d84ac",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-04-11T09:26:35Z",
    "title_canon_sha256": "b95030874cfec0c8b7851b25b950ca15dd42830c807dc9a4334f5bd9a6d70839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2384",
    "kind": "arxiv",
    "version": 1
  }
}