Pith Number

pith:63VAYTPZ

pith:2018:63VAYTPZMEWXGDYXQLPJXRN66V

not attested not anchored not stored refs pending

On the existence of large antichains for definable quasi-orders

Benjamin D. Miller, Zolt\'an Vidny\'anszky

arxiv:1808.09056 v1 · 2018-08-27 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63VAYTPZMEWXGDYXQLPJXRN66V}

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	2026-05-18T00:07:04.693224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6ea0c4df9612d730f1782de9bc5bef55cfb58bf43308c08122d440e5fa36cf2

Aliases

arxiv: 1808.09056 · arxiv_version: 1808.09056v1 · doi: 10.48550/arxiv.1808.09056 · pith_short_12: 63VAYTPZMEWX · pith_short_16: 63VAYTPZMEWXGDYX · pith_short_8: 63VAYTPZ

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/63VAYTPZMEWXGDYXQLPJXRN66V \
  | 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: f6ea0c4df9612d730f1782de9bc5bef55cfb58bf43308c08122d440e5fa36cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251b757cce301e7d3a1fffcfbaef355474b9386438cbd3a7144af0599300ea87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-08-27T22:52:01Z",
    "title_canon_sha256": "9ffbeae0e11159d6110bf80d8a4c6e88c4854aa442aa9acaf5198e2538ecb435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09056",
    "kind": "arxiv",
    "version": 1
  }
}