Pith Number

pith:3IX7QK6J

pith:2010:3IX7QK6JQAYC3MABQV4HWHOXUB

not attested not anchored not stored refs pending

Haar bases for $L^2(\mathbb{Q}_2^2)$ generated by one wavelet function

M. Skopina, S. Albeverio

arxiv:1008.0163 v1 · 2010-08-01 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IX7QK6JQAYC3MABQV4HWHOXUB}

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	2026-05-18T04:42:43.924407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2ff82bc980302db00185787b1dd7a05f356a6109d472559742f984971922ec

Aliases

arxiv: 1008.0163 · arxiv_version: 1008.0163v1 · doi: 10.48550/arxiv.1008.0163 · pith_short_12: 3IX7QK6JQAYC · pith_short_16: 3IX7QK6JQAYC3MAB · pith_short_8: 3IX7QK6J

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/3IX7QK6JQAYC3MABQV4HWHOXUB \
  | 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: da2ff82bc980302db00185787b1dd7a05f356a6109d472559742f984971922ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7824f45925a92cb6ec1530a0d1e5c9a5aede802598ee1652c6328e4420276ecc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-08-01T10:34:29Z",
    "title_canon_sha256": "c24c9dd0ab443afbcfd9b777a93674fe5d4420b640938eda24a846c747c657c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0163",
    "kind": "arxiv",
    "version": 1
  }
}