Pith Number

pith:W5Q65JGX

pith:2011:W5Q65JGX72UQAEZUOZGGWFRABI

not attested not anchored not stored refs pending

Discrete spectra for confined and unconfined -a/r + b r^2 potentials in d dimensions

Kalidas Sen, Nasser Saad, Richard L. Hall

arxiv:1108.4878 v1 · 2011-08-24 · math-ph · math.MP · physics.atom-ph · physics.chem-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{W5Q65JGX72UQAEZUOZGGWFRABI}

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	2026-05-18T02:00:48.641716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b761eea4d7fea9001334764c6b16200a0344801f0fdbd1b74d8893411618f5df

Aliases

arxiv: 1108.4878 · arxiv_version: 1108.4878v1 · doi: 10.48550/arxiv.1108.4878 · pith_short_12: W5Q65JGX72UQ · pith_short_16: W5Q65JGX72UQAEZU · pith_short_8: W5Q65JGX

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/W5Q65JGX72UQAEZUOZGGWFRABI \
  | 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: b761eea4d7fea9001334764c6b16200a0344801f0fdbd1b74d8893411618f5df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90245d570e4b06a5d196845ac1fe5ce8f53e88707679573d28854b9f1741b610",
    "cross_cats_sorted": [
      "math.MP",
      "physics.atom-ph",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-24T16:21:43Z",
    "title_canon_sha256": "4e99972a5ed4cf53169c6b98e3d7ab4aa6320ae5d047e7fe6ef6d5d28d5642cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4878",
    "kind": "arxiv",
    "version": 1
  }
}