Pith Number

pith:JDOI4TG4

pith:2007:JDOI4TG44AACWCLX2EZQTVGE6X

not attested not anchored not stored refs pending

Quadratic algebras and position-dependent mass Schr\"odinger equations

C. Quesne

arxiv:0712.1971 v1 · 2007-12-12 · math-ph · math.MP · math.QA · 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{JDOI4TG44AACWCLX2EZQTVGE6X}

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	2026-05-18T02:16:08.575463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48dc8e4cdce0002b0977d13309d4c4f5e74e28ac06944931e27e2ccb7d42b886

Aliases

arxiv: 0712.1971 · arxiv_version: 0712.1971v1 · doi: 10.48550/arxiv.0712.1971 · pith_short_12: JDOI4TG44AAC · pith_short_16: JDOI4TG44AACWCLX · pith_short_8: JDOI4TG4

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/JDOI4TG44AACWCLX2EZQTVGE6X \
  | 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: 48dc8e4cdce0002b0977d13309d4c4f5e74e28ac06944931e27e2ccb7d42b886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220a68f76a47ccc97eb3d48e3f2f2249a0e2b5e1645d06b1c00c04ac513a72bf",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-12-12T16:25:47Z",
    "title_canon_sha256": "e043499f9e65d84556826da5427d2f2025205d167358b374d328af4418e357c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1971",
    "kind": "arxiv",
    "version": 1
  }
}