Pith Number

pith:54WIGALK

pith:2018:54WIGALK6Z3ZQIOUOJNHAAPSAO

not attested not anchored not stored refs pending

Spectral identities and smoothing estimates for evolution operators

Matania Ben-Artzi, Michael Ruzhansky, Mitsuru Sugimoto

arxiv:1807.11611 v1 · 2018-07-31 · math.SP · math.AP · 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{54WIGALK6Z3ZQIOUOJNHAAPSAO}

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	2026-05-18T00:09:21.605597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2c83016af6779821d4725a7001f203885ebe352cf5a03f4ba1ff9701f6e315

Aliases

arxiv: 1807.11611 · arxiv_version: 1807.11611v1 · doi: 10.48550/arxiv.1807.11611 · pith_short_12: 54WIGALK6Z3Z · pith_short_16: 54WIGALK6Z3ZQIOU · pith_short_8: 54WIGALK

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/54WIGALK6Z3ZQIOUOJNHAAPSAO \
  | 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: ef2c83016af6779821d4725a7001f203885ebe352cf5a03f4ba1ff9701f6e315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f4fa8f5650cc064eeffffa6a50315c4a7cdb9b9b41545a379406a0e9ece2670",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-07-31T00:06:34Z",
    "title_canon_sha256": "8d65d311d25d42560d3e638d39a7141fab5f9bde66181c798b9d87330821b242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11611",
    "kind": "arxiv",
    "version": 1
  }
}