pith. sign in
Pith Number

pith:XNQBGJUL

pith:2009:XNQBGJULOFZTQWIUFG5IPFUNT3
not attested not anchored not stored refs pending

The simple harmonic urn

Andrew R. Wade, Edward Crane, Nicholas Georgiou, Robert J. Waters, Stanislav Volkov

arxiv:0911.0321 v6 · 2009-11-02 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XNQBGJULOFZTQWIUFG5IPFUNT3}

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 2026-05-18T04:04:42.717884Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bb6013268b717338591429ba87968d9eef651e4c3a4191b969137b6f528323df

Aliases

arxiv: 0911.0321 · arxiv_version: 0911.0321v6 · doi: 10.48550/arxiv.0911.0321 · pith_short_12: XNQBGJULOFZT · pith_short_16: XNQBGJULOFZTQWIU · pith_short_8: XNQBGJUL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XNQBGJULOFZTQWIUFG5IPFUNT3 \
  | 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: bb6013268b717338591429ba87968d9eef651e4c3a4191b969137b6f528323df
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d97fcc5fa7735fb76fdc4420d90bc5749cf0a533d6acc5a00645a5d77b39297d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-02T14:12:02Z",
    "title_canon_sha256": "9c5c202649aae36f0cedeb6f514264908b0980f02031eefadd4763ae2346ff47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0321",
    "kind": "arxiv",
    "version": 6
  }
}