Pith Number

pith:INQZJKCD

pith:2019:INQZJKCDKU5AI6LIIUQ23WZW7X

not attested not anchored not stored refs pending

Computing Spectral Measures and Spectral Types

Matthew John Colbrook

arxiv:1908.06721 v3 · 2019-08-19 · math.SP · cs.NA · math-ph · math.FA · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INQZJKCDKU5AI6LIIUQ23WZW7X}

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.

Cited by

1 paper in Pith

The foundations of spectral computations via the Solvability Complexity Index hierarchy

Receipt and verification

First computed	2026-07-05T02:18:49.019727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

436194a843553a0479684521addb36fdda9e018a8e8c6f9406a31b7e63374dcc

Aliases

arxiv: 1908.06721 · arxiv_version: 1908.06721v3 · doi: 10.48550/arxiv.1908.06721 · pith_short_12: INQZJKCDKU5A · pith_short_16: INQZJKCDKU5AI6LI · pith_short_8: INQZJKCD

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/INQZJKCDKU5AI6LIIUQ23WZW7X \
  | 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: 436194a843553a0479684521addb36fdda9e018a8e8c6f9406a31b7e63374dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f12f2ce141c45cb6d90d6068dd229047d7a091d893f68bc6316e5332458696b",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.FA",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-08-19T12:03:48Z",
    "title_canon_sha256": "9b4e9fb843834ffa924acdd8695288a6b4a10bf0a7966edbef7e674c3db89788"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06721",
    "kind": "arxiv",
    "version": 3
  }
}