Pith Number

pith:DIN3IDGP

pith:2016:DIN3IDGPB7X7X5YI7LYR3JLZAR

not attested not anchored not stored refs pending

W-Markov measures, transfer operators, wavelets and multiresolutions

Daniel Alpay, Izchak Lewkowicz, Palle Jorgensen

arxiv:1606.07692 v1 · 2016-06-24 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIN3IDGPB7X7X5YI7LYR3JLZAR}

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	2026-05-18T01:11:55.872848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1bb40ccf0feffbf708faf11da579045b3fc676e93900acb69c13b15a1d4d98

Aliases

arxiv: 1606.07692 · arxiv_version: 1606.07692v1 · doi: 10.48550/arxiv.1606.07692 · pith_short_12: DIN3IDGPB7X7 · pith_short_16: DIN3IDGPB7X7X5YI · pith_short_8: DIN3IDGP

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/DIN3IDGPB7X7X5YI7LYR3JLZAR \
  | 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: 1a1bb40ccf0feffbf708faf11da579045b3fc676e93900acb69c13b15a1d4d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a6dd5d3c99c70dbf16f3e09735101751bddcc6c3eab511b84c9c4f170ec2568",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-24T14:08:43Z",
    "title_canon_sha256": "63b47039c572c5728dbb3e150fc38057da35d3046c213fc3b03dc44320152616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07692",
    "kind": "arxiv",
    "version": 1
  }
}