pith. sign in
Pith Number

pith:PYIMLMCT

pith:2013:PYIMLMCT23NW5ZKBTJFINDJZVB
not attested not anchored not stored refs pending

Computing K-Trivial Sets by Incomplete Random Sets

Adam R. Day, Andr\'e Nies, Anton\'in Ku\v{c}era, Dan Turetsky, Joseph S. Miller, Laurent Bienvenu, Noam Greenberg

arxiv:1305.5514 v1 · 2013-05-23 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PYIMLMCT23NW5ZKBTJFINDJZVB}

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 2026-05-18T03:25:04.598196Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7e10c5b053d6db6ee5419a4a868d39a865cf64ffa4418eef29e63cac7928c4a4

Aliases

arxiv: 1305.5514 · arxiv_version: 1305.5514v1 · doi: 10.48550/arxiv.1305.5514 · pith_short_12: PYIMLMCT23NW · pith_short_16: PYIMLMCT23NW5ZKB · pith_short_8: PYIMLMCT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PYIMLMCT23NW5ZKBTJFINDJZVB \
  | 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: 7e10c5b053d6db6ee5419a4a868d39a865cf64ffa4418eef29e63cac7928c4a4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "530483e0fbe414bf99189c1b7a1937ffeb20a1e9e077bacc63d40a1f31ddc4ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-05-23T18:38:54Z",
    "title_canon_sha256": "a11bdfa6e6a68389b0ed752a18b5258d0bd26b02edbc023d4a31b7e72c2e4071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5514",
    "kind": "arxiv",
    "version": 1
  }
}