Pith Number

pith:HDFZF4TK

pith:2013:HDFZF4TKHSUKW2JOSBV5MXQO7X

not attested not anchored not stored refs pending

Packing Posets in the Boolean Lattice

Andrew P. Dove, Jerrold R. Griggs

arxiv:1309.6686 v1 · 2013-09-25 · 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{HDFZF4TKHSUKW2JOSBV5MXQO7X}

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	2026-05-18T03:12:10.873590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38cb92f26a3ca8ab692e906bd65e0efdcbde20c5da4c0a24e5b5b9f7174ab557

Aliases

arxiv: 1309.6686 · arxiv_version: 1309.6686v1 · doi: 10.48550/arxiv.1309.6686 · pith_short_12: HDFZF4TKHSUK · pith_short_16: HDFZF4TKHSUKW2JO · pith_short_8: HDFZF4TK

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/HDFZF4TKHSUKW2JOSBV5MXQO7X \
  | 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: 38cb92f26a3ca8ab692e906bd65e0efdcbde20c5da4c0a24e5b5b9f7174ab557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657a46b0388c7297aa4e474cb311e3ee7047463afaace6448f8a8ccb27a80f37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-25T22:36:09Z",
    "title_canon_sha256": "0dbd97fdc6a9a6c2f4361249d2f4e9e02f9292b9a65ff6bc193a226ae11abd3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6686",
    "kind": "arxiv",
    "version": 1
  }
}