pith. sign in
Pith Number

pith:HPYKEPWH

pith:2016:HPYKEPWHPLBI4QUQRPWF2Z3CQR
not attested not anchored not stored refs pending

Algorithmic randomness and Fourier analysis

Jason Rute, Johanna Franklin, Timothy McNicholl

arxiv:1603.01778 v1 · 2016-03-06 · math.LO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HPYKEPWHPLBI4QUQRPWF2Z3CQR}

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 2026-05-18T01:19:05.051524Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3bf0a23ec77ac28e42908bec5d6762845a2080d146db97cd6f573744acddac26

Aliases

arxiv: 1603.01778 · arxiv_version: 1603.01778v1 · doi: 10.48550/arxiv.1603.01778 · pith_short_12: HPYKEPWHPLBI · pith_short_16: HPYKEPWHPLBI4QUQ · pith_short_8: HPYKEPWH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HPYKEPWHPLBI4QUQRPWF2Z3CQR \
  | 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: 3bf0a23ec77ac28e42908bec5d6762845a2080d146db97cd6f573744acddac26
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4933efaec394ef80d05babe47af612f3b3953ba27e823023aaca2a7225b82009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-03-06T02:31:41Z",
    "title_canon_sha256": "a13cde2f750d448fd948eed92a1de6de309a7688c9c222671e92308843eb5669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01778",
    "kind": "arxiv",
    "version": 1
  }
}