Pith Number

pith:PSSHG2SQ

pith:2015:PSSHG2SQF7ICMRH4NH2LDGWLK5

not attested not anchored not stored refs pending

On the Shift Operator, Graph Frequency and Optimal Filtering in Graph Signal Processing

Adnan Gavili, Xiao-Ping Zhang

arxiv:1511.03512 v6 · 2015-11-06 · math.SP · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSSHG2SQF7ICMRH4NH2LDGWLK5}

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	2026-05-18T00:35:55.804591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca4736a502fd02644fc69f4b19acb5751b259c7507ac17037e3965eea6a1ba8

Aliases

arxiv: 1511.03512 · arxiv_version: 1511.03512v6 · doi: 10.48550/arxiv.1511.03512 · pith_short_12: PSSHG2SQF7IC · pith_short_16: PSSHG2SQF7ICMRH4 · pith_short_8: PSSHG2SQ

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/PSSHG2SQF7ICMRH4NH2LDGWLK5 \
  | 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: 7ca4736a502fd02644fc69f4b19acb5751b259c7507ac17037e3965eea6a1ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64403d25b51c58ffa5ade8811d75e93ecccf7db963a699ae29bbf49d7d9f7c11",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-06T22:06:51Z",
    "title_canon_sha256": "180ece674ce880bd2d84d426c3db3ba71da885184df17389cc7f4709cc7c51b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03512",
    "kind": "arxiv",
    "version": 6
  }
}