Pith Number

pith:CONBSSLY

pith:2011:CONBSSLYLKU46DEHMJ2NDMTMMV

not attested not anchored not stored refs pending

Symmetries on the lattice of $k$-bounded partitions

Chris Berg, Mike Zabrocki, Nathan Williams

arxiv:1111.2783 v3 · 2011-11-11 · 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{CONBSSLYLKU46DEHMJ2NDMTMMV}

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	2026-05-18T02:40:54.449053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139a1949785aa9cf0c876274d1b26c6544fc3d23059a29e29f6bb454f94edac8

Aliases

arxiv: 1111.2783 · arxiv_version: 1111.2783v3 · doi: 10.48550/arxiv.1111.2783 · pith_short_12: CONBSSLYLKU4 · pith_short_16: CONBSSLYLKU46DEH · pith_short_8: CONBSSLY

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/CONBSSLYLKU46DEHMJ2NDMTMMV \
  | 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: 139a1949785aa9cf0c876274d1b26c6544fc3d23059a29e29f6bb454f94edac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26bf5395cae0c7cfbba110cb8eaceca431e261bcac33507b83db61160d7d54dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-11T16:10:23Z",
    "title_canon_sha256": "b804ab026e1e9a8796e601195a24c5fbf982d31af2f18617c92ba5f624167c49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2783",
    "kind": "arxiv",
    "version": 3
  }
}