Pith Number

pith:IJUZBNT5

pith:2015:IJUZBNT5CI45EB54SHJLKOZOV4

not attested not anchored not stored refs pending

Hadamard triples generate self-affine spectral measures

Chun-kit Lai, Dorin Ervin Dutkay, John Haussermann

arxiv:1506.01503 v1 · 2015-06-04 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJUZBNT5CI45EB54SHJLKOZOV4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:57:18.694655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

426990b67d1239d207bc91d2b53b2eaf314b6f3ccf6300c48497b2f60d2f42aa

Aliases

arxiv: 1506.01503 · arxiv_version: 1506.01503v1 · doi: 10.48550/arxiv.1506.01503 · pith_short_12: IJUZBNT5CI45 · pith_short_16: IJUZBNT5CI45EB54 · pith_short_8: IJUZBNT5

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/IJUZBNT5CI45EB54SHJLKOZOV4 \
  | 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: 426990b67d1239d207bc91d2b53b2eaf314b6f3ccf6300c48497b2f60d2f42aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78cb5e987d9150fb155411c81dc6ad4f6c07c290f55765660fac14c390bb5d60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-04T08:15:32Z",
    "title_canon_sha256": "cd0ea1306edf3e9ffc8c00d974cdfd9e497bafa8594514655bdeb6025e1b6291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01503",
    "kind": "arxiv",
    "version": 1
  }
}