Pith Number

pith:4AF6KGF2

pith:2019:4AF6KGF2CX6RUMI7GO5DIXF4EF

not attested not anchored not stored refs pending

On $k$-antichains in the unit $n$-cube

Christos Pelekis, V\'aclav Vlas\'ak

arxiv:1908.04727 v1 · 2019-08-13 · math.CA · 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{4AF6KGF2CX6RUMI7GO5DIXF4EF}

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	2026-07-04T23:55:15.915645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e00be518ba15fd1a311f33ba345cbc216c481dd17945e4c7d4f549997bea92e3

Aliases

arxiv: 1908.04727 · arxiv_version: 1908.04727v1 · doi: 10.48550/arxiv.1908.04727 · pith_short_12: 4AF6KGF2CX6R · pith_short_16: 4AF6KGF2CX6RUMI7 · pith_short_8: 4AF6KGF2

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/4AF6KGF2CX6RUMI7GO5DIXF4EF \
  | 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: e00be518ba15fd1a311f33ba345cbc216c481dd17945e4c7d4f549997bea92e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfea24d6fb8d386e5ca0981ff1c135ed5a9fb53ea1c082648d07fba6e391c774",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-13T16:39:45Z",
    "title_canon_sha256": "02a6ef58af41df9cd6d8970c8e31380771b6f72faf23459a9a9f7f17bda19594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04727",
    "kind": "arxiv",
    "version": 1
  }
}