Pith Number

pith:VP35AQCB

pith:2011:VP35AQCB45EKAZYVZ5YKDL2V5R

not attested not anchored not stored refs pending

Symmetric chain decomposition for cyclic quotients of Boolean algebras and relation to cyclic crystals

Anne Schilling, Patricia Hersh

arxiv:1107.4073 v2 · 2011-07-20 · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VP35AQCB45EKAZYVZ5YKDL2V5R}

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	2026-05-18T03:36:16.244563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abf7d04041e748a06715cf70a1af55ec43a951e1b01ee30a193baba1cf9882e4

Aliases

arxiv: 1107.4073 · arxiv_version: 1107.4073v2 · doi: 10.48550/arxiv.1107.4073 · pith_short_12: VP35AQCB45EK · pith_short_16: VP35AQCB45EKAZYV · pith_short_8: VP35AQCB

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/VP35AQCB45EKAZYVZ5YKDL2V5R \
  | 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: abf7d04041e748a06715cf70a1af55ec43a951e1b01ee30a193baba1cf9882e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785d9b10dadc5b3b071090ba821862436ccd6462d43a1657d5696b30669018a7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-20T19:09:51Z",
    "title_canon_sha256": "a26bba2b02d83c1f002b4bc9a890afe7cc5689e072cb9c09d0e5ed70a7835443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4073",
    "kind": "arxiv",
    "version": 2
  }
}