Pith Number

pith:PVAXJ6K5

pith:2012:PVAXJ6K5UKHISDOMO2Q6Y3H4FL

not attested not anchored not stored refs pending

Partial transformation monoids preserving a uniform partition

Csaba Schneider, Serena Cicalo, Vitor H. Fernandes

arxiv:1210.4775 v1 · 2012-10-17 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVAXJ6K5UKHISDOMO2Q6Y3H4FL}

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	2026-05-18T03:42:56.210438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d4174f95da28e890dcc76a1ec6cfc2aeec0cb0cd855e50f540c9d3621c663a5

Aliases

arxiv: 1210.4775 · arxiv_version: 1210.4775v1 · doi: 10.48550/arxiv.1210.4775 · pith_short_12: PVAXJ6K5UKHI · pith_short_16: PVAXJ6K5UKHISDOM · pith_short_8: PVAXJ6K5

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/PVAXJ6K5UKHISDOMO2Q6Y3H4FL \
  | 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: 7d4174f95da28e890dcc76a1ec6cfc2aeec0cb0cd855e50f540c9d3621c663a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d18037ec318b0e7ee641b899574bf79441ba26ff31d984df66b0634ffca790b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-10-17T15:41:05Z",
    "title_canon_sha256": "b52d5d7b72a5ba1e9700cb71cac7d21353b6c6b8fc0316f279a7ad4e1b814138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4775",
    "kind": "arxiv",
    "version": 1
  }
}