Pith Number

pith:WQCWX3XB

pith:2015:WQCWX3XB5JMQWWSKTQHNOBZBXY

not attested not anchored not stored refs pending

Frames of translates with prescribed fine structure in shift invariant spaces

Demetrio Stojanoff, Maria Jose Benac, Pedro Massey

arxiv:1512.07122 v2 · 2015-12-22 · 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{WQCWX3XB5JMQWWSKTQHNOBZBXY}

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	2026-05-18T01:10:38.120974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4056beee1ea590b5a4a9c0ed70721be3c445fea7675c4bc7bdf1004e8a4f045

Aliases

arxiv: 1512.07122 · arxiv_version: 1512.07122v2 · doi: 10.48550/arxiv.1512.07122 · pith_short_12: WQCWX3XB5JMQ · pith_short_16: WQCWX3XB5JMQWWSK · pith_short_8: WQCWX3XB

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/WQCWX3XB5JMQWWSKTQHNOBZBXY \
  | 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: b4056beee1ea590b5a4a9c0ed70721be3c445fea7675c4bc7bdf1004e8a4f045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a83bb862ea46ab499efbda7e097341ec976a6d220212b9f7c7abacc3dc75344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-22T15:26:39Z",
    "title_canon_sha256": "e42f671f06002d24012ee0447a41b8a50c8d0f768275445875301acdc6c3ab4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07122",
    "kind": "arxiv",
    "version": 2
  }
}