Pith Number

pith:SA7U3C4S

pith:2011:SA7U3C4SOCJY3EVK43WGVKM23O

not attested not anchored not stored refs pending

Some Quotients of the Boolean Lattice are Symmetric Chain Orders

Dwight Duffus, Jeremy McKibben-Sanders, Kyle Thayer

arxiv:1107.1098 v2 · 2011-07-06 · 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{SA7U3C4SOCJY3EVK43WGVKM23O}

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	2026-05-18T04:14:44.805154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

903f4d8b9270938d92aae6ec6aa99adb98aa7fe825695263c357b95b3bfc6a80

Aliases

arxiv: 1107.1098 · arxiv_version: 1107.1098v2 · doi: 10.48550/arxiv.1107.1098 · pith_short_12: SA7U3C4SOCJY · pith_short_16: SA7U3C4SOCJY3EVK · pith_short_8: SA7U3C4S

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/SA7U3C4SOCJY3EVK43WGVKM23O \
  | 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: 903f4d8b9270938d92aae6ec6aa99adb98aa7fe825695263c357b95b3bfc6a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6cc25a60546848722d28c48952ca12e49f6fc5a6946f45debf1dd4cc435d9de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-06T11:21:29Z",
    "title_canon_sha256": "2818af247d3cc87858f16c20fbdd250cd6f064ffee854ebc43f19df4f8f90ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1098",
    "kind": "arxiv",
    "version": 2
  }
}