Pith Number

pith:UYDSCXPO

pith:2014:UYDSCXPORTOECRAZFZFSBKP56J

not attested not anchored not stored refs pending

Position-dependent mass Lagrangians: nonlocal transformations, Euler-Lagrange invariance and exact solvability

Omar Mustafa

arxiv:1411.4405 v3 · 2014-11-17 · 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{UYDSCXPORTOECRAZFZFSBKP56J}

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	2026-05-18T02:03:50.809558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a607215dee8cdc4144192e4b20a9fdf278a17609d939447fe8a5eb627f1042fb

Aliases

arxiv: 1411.4405 · arxiv_version: 1411.4405v3 · doi: 10.48550/arxiv.1411.4405 · pith_short_12: UYDSCXPORTOE · pith_short_16: UYDSCXPORTOECRAZ · pith_short_8: UYDSCXPO

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/UYDSCXPORTOECRAZFZFSBKP56J \
  | 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: a607215dee8cdc4144192e4b20a9fdf278a17609d939447fe8a5eb627f1042fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb18bbab0167e1c2e67654b65b40b69efba09201471b5cab46a8d2f71cb3074",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-17T09:52:32Z",
    "title_canon_sha256": "8d2234c643df61f71638e36f60b41836214bf905d3db1618e157b8fbb3e1a6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4405",
    "kind": "arxiv",
    "version": 3
  }
}