Pith Number

pith:XS65H44I

pith:2014:XS65H44I7VUSSYMLT6XZF3RXGH

not attested not anchored not stored refs pending

A Multi-Scale Analysis Scheme on Abelian Groups with an Application to Operators Dual to Hill's Equation

David Damanik (Rice University), Michael Goldstein (University of Toronto), Milivoje Lukic (University of Toronto, Rice University)

arxiv:1409.2147 v2 · 2014-09-07 · math.SP · math-ph · 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{XS65H44I7VUSSYMLT6XZF3RXGH}

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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	2026-05-17T23:53:01.763551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcbdd3f388fd6929618b9faf92ee3731c2ebdb9c8c4d0e57fbc3fd9723a39d32

Aliases

arxiv: 1409.2147 · arxiv_version: 1409.2147v2 · doi: 10.48550/arxiv.1409.2147 · pith_short_12: XS65H44I7VUS · pith_short_16: XS65H44I7VUSSYML · pith_short_8: XS65H44I

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/XS65H44I7VUSSYMLT6XZF3RXGH \
  | 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: bcbdd3f388fd6929618b9faf92ee3731c2ebdb9c8c4d0e57fbc3fd9723a39d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "173495adffe20689600294d74621559fb17688945d5f5c0d5ab565aa76924ea3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-09-07T18:14:28Z",
    "title_canon_sha256": "0338b9c3a7308db70948145c13849f0519b1dcc2a219df086523598d3d38de29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2147",
    "kind": "arxiv",
    "version": 2
  }
}