Pith Number

pith:R3ARE5E6

pith:2009:R3ARE5E6DRVUGVF2EHE5G5L5M3

not attested not anchored not stored refs pending

Convergence of expansions in Schr\"odinger and Dirac eigenfunctions, with an application to the R-matrix theory

Julia Stasi\'nska

arxiv:0912.2909 v4 · 2009-12-15 · physics.atom-ph · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3ARE5E6DRVUGVF2EHE5G5L5M3}

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	2026-05-18T03:57:27.084965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ec112749e1c6b4354ba21c9d3757d66e2236368c6eb074e7c0bf0b2a3ea0b95

Aliases

arxiv: 0912.2909 · arxiv_version: 0912.2909v4 · doi: 10.48550/arxiv.0912.2909 · pith_short_12: R3ARE5E6DRVU · pith_short_16: R3ARE5E6DRVUGVF2 · pith_short_8: R3ARE5E6

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/R3ARE5E6DRVUGVF2EHE5G5L5M3 \
  | 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: 8ec112749e1c6b4354ba21c9d3757d66e2236368c6eb074e7c0bf0b2a3ea0b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0081264eb45e66d7cf574618ed19c6403eab809e5ea3b0f27f3fc6eb22a2ac30",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2009-12-15T14:34:20Z",
    "title_canon_sha256": "d9b33e0324e7195f77d1377f39db2d989f177116f88a7d2fe3b9708bea4d2731"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2909",
    "kind": "arxiv",
    "version": 4
  }
}