Pith Number

pith:6MAT2DTI

pith:2012:6MAT2DTIQLGD7X3G5S5PF5OGOL

not attested not anchored not stored refs pending

Ramsey theory for p-quasicyclic groups with a view towards topological dynamics

Andreas Koutsogiannis

arxiv:1212.3520 v2 · 2012-12-14 · math.CO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MAT2DTIQLGD7X3G5S5PF5OGOL}

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	2026-05-18T02:45:05.114725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3013d0e6882cc3fdf66ecbaf2f5c672ced75d437e8614f401c964d7b959be69

Aliases

arxiv: 1212.3520 · arxiv_version: 1212.3520v2 · doi: 10.48550/arxiv.1212.3520 · pith_short_12: 6MAT2DTIQLGD · pith_short_16: 6MAT2DTIQLGD7X3G · pith_short_8: 6MAT2DTI

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/6MAT2DTIQLGD7X3G5S5PF5OGOL \
  | 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: f3013d0e6882cc3fdf66ecbaf2f5c672ced75d437e8614f401c964d7b959be69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "453b03b776ec8c24568601b028b0a95187457e49f3a87ba2830d61242821dccf",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-14T16:36:10Z",
    "title_canon_sha256": "7d6e89590a3f8595e5360a02eb0ce420e62175a842aa9020e9bf85c2b12d7b4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3520",
    "kind": "arxiv",
    "version": 2
  }
}