Pith Number

pith:5ZMGKTGY

pith:2012:5ZMGKTGYG446YIL3EIDUHJURQX

not attested not anchored not stored refs pending

Output polynomial enumeration of all fixed-cardinality ideals of a poset, respectively all fixed-cardinality subtrees of a tree

Marcel Wild

arxiv:1208.2180 v2 · 2012-08-10 · 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{5ZMGKTGYG446YIL3EIDUHJURQX}

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	2026-05-18T00:49:52.948827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee58654cd83739ec217b220743a69185c535435ae3721a4f297ac46267b5b42e

Aliases

arxiv: 1208.2180 · arxiv_version: 1208.2180v2 · doi: 10.48550/arxiv.1208.2180 · pith_short_12: 5ZMGKTGYG446 · pith_short_16: 5ZMGKTGYG446YIL3 · pith_short_8: 5ZMGKTGY

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/5ZMGKTGYG446YIL3EIDUHJURQX \
  | 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: ee58654cd83739ec217b220743a69185c535435ae3721a4f297ac46267b5b42e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e87be9910a5b0ce33dcc5184d2d87c6cf2c4c22baf20ed7ac66b643fe138e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-10T14:07:31Z",
    "title_canon_sha256": "68cfccf916e3ddc278656477ec15841d75022f4b157ca339385925ca077651e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2180",
    "kind": "arxiv",
    "version": 2
  }
}