Pith Number

pith:65UVG2KY

pith:2021:65UVG2KY4KHMRWXV36RLDDLOTM

not attested not anchored not stored refs pending

Generalized Matrix Spectral Factorization with Symmetry and Applications to Symmetric Quasi-Tight Framelets

Bin Han, Chenzhe Diao, Ran Lu

arxiv:2112.01143 v1 · 2021-12-02 · 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{65UVG2KY4KHMRWXV36RLDDLOTM}

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	2026-07-05T03:37:05.366602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f769536958e28ec8daf5dfa2b18d6e9b0945b49f0a17ac64d3761bcaf9a35ddb

Aliases

arxiv: 2112.01143 · arxiv_version: 2112.01143v1 · doi: 10.48550/arxiv.2112.01143 · pith_short_12: 65UVG2KY4KHM · pith_short_16: 65UVG2KY4KHMRWXV · pith_short_8: 65UVG2KY

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/65UVG2KY4KHMRWXV36RLDDLOTM \
  | 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: f769536958e28ec8daf5dfa2b18d6e9b0945b49f0a17ac64d3761bcaf9a35ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9abed944143ce5b87b584b631f7fe4a8cbfdceac6f54c6a80bccb242d6bbabe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-12-02T11:40:25Z",
    "title_canon_sha256": "0f6c3131c0837a6b1049725f11c890420736f4d449a1e740d68eaa01ea722c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01143",
    "kind": "arxiv",
    "version": 1
  }
}