Pith Number

pith:4ZFJV5HN

pith:2018:4ZFJV5HN4MXHIMLSVQ5H26HI3F

not attested not anchored not stored refs pending

Projection inequalities for antichains

Christian Reiher, Christos Pelekis, Konrad Engel, Themis Mitsis

arxiv:1812.06496 v1 · 2018-12-16 · 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{4ZFJV5HN4MXHIMLSVQ5H26HI3F}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T02:00:08.276900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64a9af4ede32e743172ac3a7d78e8d95aaac87876a9f0d55100cffcb713a973

Aliases

arxiv: 1812.06496 · arxiv_version: 1812.06496v1 · doi: 10.48550/arxiv.1812.06496 · pith_short_12: 4ZFJV5HN4MXH · pith_short_16: 4ZFJV5HN4MXHIMLS · pith_short_8: 4ZFJV5HN

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/4ZFJV5HN4MXHIMLSVQ5H26HI3F \
  | 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: e64a9af4ede32e743172ac3a7d78e8d95aaac87876a9f0d55100cffcb713a973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "995a0f7ec4d25610d84781c8cd9a98eaba0edb51cc7408deaf3487744f6d5f1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-16T16:18:34Z",
    "title_canon_sha256": "94beea9cd1ae10cc24253220127910ae6d7fdc4c58112c4684f2980ff7b51ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06496",
    "kind": "arxiv",
    "version": 1
  }
}