Pith Number

pith:DUJ2LOSI

pith:2010:DUJ2LOSIRMUY4W7BXLCGMGTDCZ

not attested not anchored not stored refs pending

Spectral simplicity and asymptotic separation of variables

Chris Judge, Luc Hillairet

arxiv:1001.0235 v1 · 2010-01-04 · math.SP · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUJ2LOSIRMUY4W7BXLCGMGTDCZ}

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	2026-05-18T02:10:05.877094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d13a5ba488b298e5be1bac4661a63166888503381cdd5cf8e2e5c51336c5468

Aliases

arxiv: 1001.0235 · arxiv_version: 1001.0235v1 · doi: 10.48550/arxiv.1001.0235 · pith_short_12: DUJ2LOSIRMUY · pith_short_16: DUJ2LOSIRMUY4W7B · pith_short_8: DUJ2LOSI

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/DUJ2LOSIRMUY4W7BXLCGMGTDCZ \
  | 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: 1d13a5ba488b298e5be1bac4661a63166888503381cdd5cf8e2e5c51336c5468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8184ded95b80734d6ef39bc04039fe10373b4d38a442a17fabf5d5d568a9c8",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-01-04T14:59:30Z",
    "title_canon_sha256": "2323537811b2af755b487ad226138ca11e678d393206d1c8fe1e1cff994990fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0235",
    "kind": "arxiv",
    "version": 1
  }
}