Pith Number

pith:5JCJGLE4

pith:1993:5JCJGLE47RYT5EESWSCBSDJUZU

not attested not anchored not stored refs pending

Summary of Spectral Invariance Results

Larry B. Schweitzer

arxiv:funct-an/9301002 v1 · 1993-01-23 · funct-an · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JCJGLE47RYT5EESWSCBSDJUZU}

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	2026-05-18T01:20:54.261075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea44932c9cfc713e9092b484190d34cd0eafe787cdf51e2e4f68d5cc0822c2bb

Aliases

arxiv: funct-an/9301002 · arxiv_version: funct-an/9301002v1 · doi: 10.48550/arxiv.funct-an/9301002 · pith_short_12: 5JCJGLE47RYT · pith_short_16: 5JCJGLE47RYT5EES · pith_short_8: 5JCJGLE4

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/5JCJGLE47RYT5EESWSCBSDJUZU \
  | 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: ea44932c9cfc713e9092b484190d34cd0eafe787cdf51e2e4f68d5cc0822c2bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f479308c85d2ea494f5ced3dc280a60c734c21408998a318bcb4c929719b8c0a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "funct-an",
    "submitted_at": "1993-01-23T08:59:51Z",
    "title_canon_sha256": "0b90b6fe75626db67fdecda7940f89bd9cfc7fcd66f051f14e8124984fbdbff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "funct-an/9301002",
    "kind": "arxiv",
    "version": 1
  }
}