Pith Number

pith:2GT5MSAH

pith:2011:2GT5MSAHL5MGUNCHG2QHNTHSRJ

not attested not anchored not stored refs pending

Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures

Omar Mustafa

arxiv:1104.1353 v1 · 2011-04-07 · quant-ph · 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{2GT5MSAHL5MGUNCHG2QHNTHSRJ}

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	2026-05-18T04:15:28.187571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a7d648075f586a344736a076ccf28a435266ce7de4cbc2e53ba607bf0e4aa2

Aliases

arxiv: 1104.1353 · arxiv_version: 1104.1353v1 · doi: 10.48550/arxiv.1104.1353 · pith_short_12: 2GT5MSAHL5MG · pith_short_16: 2GT5MSAHL5MGUNCH · pith_short_8: 2GT5MSAH

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/2GT5MSAHL5MGUNCHG2QHNTHSRJ \
  | 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: d1a7d648075f586a344736a076ccf28a435266ce7de4cbc2e53ba607bf0e4aa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00fdd2f2e9a6158e86268dc8c446434c5eb9f872906c90a916df0a4b0f0062b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-04-07T15:21:20Z",
    "title_canon_sha256": "9278137b557a85efa50f67b85cf2e1fa4c8a7c87ceca1bbefbed5e9dbdeb39de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1353",
    "kind": "arxiv",
    "version": 1
  }
}