Pith Number

pith:SWI3X47J

pith:2012:SWI3X47JJEMOJSGNFRON2LV7QX

not attested not anchored not stored refs pending

Symmetric Chain Decompositions of Quotients of Chain Products by Wreath Products

Dwight Duffus, Kyle Thayer

arxiv:1209.2579 v2 · 2012-09-12 · 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{SWI3X47JJEMOJSGNFRON2LV7QX}

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	2026-05-18T03:13:56.214372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9591bbf3e94918e4c8cd2c5cdd2ebf85fb7f756f19aa9256075a5c8f01d40620

Aliases

arxiv: 1209.2579 · arxiv_version: 1209.2579v2 · doi: 10.48550/arxiv.1209.2579 · pith_short_12: SWI3X47JJEMO · pith_short_16: SWI3X47JJEMOJSGN · pith_short_8: SWI3X47J

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/SWI3X47JJEMOJSGNFRON2LV7QX \
  | 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: 9591bbf3e94918e4c8cd2c5cdd2ebf85fb7f756f19aa9256075a5c8f01d40620

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c6c973161eefcec689714f6c10d2acac2a7de4eac7e1d022b7f7a13fe53e92b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-12T11:49:10Z",
    "title_canon_sha256": "d1f58f8c317ac59ef5dd66bfbc064e8575e605478785ce7ec2718cde230f6989"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2579",
    "kind": "arxiv",
    "version": 2
  }
}