Pith Number

pith:KAOUNAD2

pith:2012:KAOUNAD2CGEV6GOOMEMBHENBRC

not attested not anchored not stored refs pending

Some remarks on barycentric-sum problems over cyclic groups

Alain Plagne (CMLS-EcolePolytechnique), Oscar Ordaz, Wolfgang A. Schmid (LAGA)

arxiv:1204.4540 v2 · 2012-04-20 · math.NT · 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{KAOUNAD2CGEV6GOOMEMBHENBRC}

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	2026-05-18T03:20:35.653900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501d46807a11895f19ce61181391a188a95a881d776b5c8800fa1dc42c5dbb66

Aliases

arxiv: 1204.4540 · arxiv_version: 1204.4540v2 · doi: 10.48550/arxiv.1204.4540 · pith_short_12: KAOUNAD2CGEV · pith_short_16: KAOUNAD2CGEV6GOO · pith_short_8: KAOUNAD2

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/KAOUNAD2CGEV6GOOMEMBHENBRC \
  | 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: 501d46807a11895f19ce61181391a188a95a881d776b5c8800fa1dc42c5dbb66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63b116604befa59a1e47eeb58fc98c2e82633faec8cb00b1ffd5abd7c3730024",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-20T06:34:47Z",
    "title_canon_sha256": "994c411c4cd1cd018cda006f42cd2f1fcad6392345bc56c1cfe5e50c68f7eb02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4540",
    "kind": "arxiv",
    "version": 2
  }
}