Pith Number

pith:AJXFDFUU

pith:2016:AJXFDFUU7TZZCG4V6HXOLBYNS4

not attested not anchored not stored refs pending

Crystallographic Multiwavelets in $L^2(R^d)$

Alejandro Quintero, Ursula Molter

arxiv:1610.09019 v1 · 2016-10-27 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJXFDFUU7TZZCG4V6HXOLBYNS4}

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	2026-05-18T01:00:59.422789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

026e519694fcf3911b95f1eee5870d972db9d92774716a3544bc3fa423399271

Aliases

arxiv: 1610.09019 · arxiv_version: 1610.09019v1 · doi: 10.48550/arxiv.1610.09019 · pith_short_12: AJXFDFUU7TZZ · pith_short_16: AJXFDFUU7TZZCG4V · pith_short_8: AJXFDFUU

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/AJXFDFUU7TZZCG4V6HXOLBYNS4 \
  | 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: 026e519694fcf3911b95f1eee5870d972db9d92774716a3544bc3fa423399271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915ed57c0e5a6b327a43212e9645ed8096976af304363811b0d816d122c14d52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-27T21:54:48Z",
    "title_canon_sha256": "e45a637851439eb548632090959bdf85b817122ba9846dcf5f6d3e89f2de7f11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09019",
    "kind": "arxiv",
    "version": 1
  }
}