Pith Number

pith:CYW6IK6C

pith:2010:CYW6IK6C7WB5EDAKCDSHCDLVK3

not attested not anchored not stored refs pending

On cellular covers with free kernels

Jos\'e L. Rodr\'iguez, Lutz Str\"ungmann

arxiv:1001.2457 v1 · 2010-01-14 · math.GR · math.AC · math.AT · 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{CYW6IK6C7WB5EDAKCDSHCDLVK3}

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	2026-05-18T04:34:27.857509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162de42bc2fd83d20c0a10e4710d7556f29988859db343b06d80aa67b17d79f3

Aliases

arxiv: 1001.2457 · arxiv_version: 1001.2457v1 · doi: 10.48550/arxiv.1001.2457 · pith_short_12: CYW6IK6C7WB5 · pith_short_16: CYW6IK6C7WB5EDAK · pith_short_8: CYW6IK6C

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/CYW6IK6C7WB5EDAKCDSHCDLVK3 \
  | 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: 162de42bc2fd83d20c0a10e4710d7556f29988859db343b06d80aa67b17d79f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a544bda363d8008ae169244b9e57bb01a7969ca0fe644dd63075c17d97a058",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-01-14T13:31:22Z",
    "title_canon_sha256": "8fadab8af918d9b9420b0dd91e2059810be188733a60765cab86ca597b3c10b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2457",
    "kind": "arxiv",
    "version": 1
  }
}