Pith Number

pith:G7GVDWUB

pith:2010:G7GVDWUBFF3VPBIUWRUMRL2HXO

not attested not anchored not stored refs pending

Centerpole sets for colorings of Abelian groups

Ostap Chervak, Taras Banakh

arxiv:1003.2588 v3 · 2010-03-12 · math.CO · math.GN · 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{G7GVDWUBFF3VPBIUWRUMRL2HXO}

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	2026-05-18T04:15:04.605746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37cd51da812977578514b468c8af47bb894f05d7c1981e33aef6a4ed30d3fe9e

Aliases

arxiv: 1003.2588 · arxiv_version: 1003.2588v3 · doi: 10.48550/arxiv.1003.2588 · pith_short_12: G7GVDWUBFF3V · pith_short_16: G7GVDWUBFF3VPBIU · pith_short_8: G7GVDWUB

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/G7GVDWUBFF3VPBIUWRUMRL2HXO \
  | 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: 37cd51da812977578514b468c8af47bb894f05d7c1981e33aef6a4ed30d3fe9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64e31bddc938628314e90d745f5b5336b4ac59887062bb9760df1104ca0bc5ef",
    "cross_cats_sorted": [
      "math.GN",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-12T17:43:36Z",
    "title_canon_sha256": "b9dcbd2a35b632e9653d948508cc55c2dc4fb0d3847b2e810177a59de5cb9bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2588",
    "kind": "arxiv",
    "version": 3
  }
}