Pith Number

pith:WE7N72RH

pith:2009:WE7N72RHY5HCBYJZAPXYNSWCQE

not attested not anchored not stored refs pending

Perfect colourings of cyclotomic integers

D. Frettl\"oh, E.P. Bugarin, M.L.A.N. de las Pe\~nas

arxiv:0905.4048 v2 · 2009-05-25 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WE7N72RHY5HCBYJZAPXYNSWCQE}

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	2026-05-18T04:01:51.395577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b13edfea27c74e20e13903ef86cac2812b7d6e3662757ae134387b6f5035fc7e

Aliases

arxiv: 0905.4048 · arxiv_version: 0905.4048v2 · doi: 10.48550/arxiv.0905.4048 · pith_short_12: WE7N72RHY5HC · pith_short_16: WE7N72RHY5HCBYJZ · pith_short_8: WE7N72RH

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/WE7N72RHY5HCBYJZAPXYNSWCQE \
  | 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: b13edfea27c74e20e13903ef86cac2812b7d6e3662757ae134387b6f5035fc7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08a6f62705b211215f1cb6d49fe85531b16e83e2eb9145f027ee0980563c7baf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-05-25T16:40:50Z",
    "title_canon_sha256": "fc1c9c2170c54cbfe5a75b77e6c3fdb308c34e08ce176b70e8d37379aff6b3f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4048",
    "kind": "arxiv",
    "version": 2
  }
}