Pith Number

pith:ZBUR5K6N

pith:2004:ZBUR5K6NUK255WPPNNAJ23ZCOL

not attested not anchored not stored refs pending

Remarks on exact solvability of quantum systems with spatially varying effective mass

B. Gonul, M. Ko\c{c}ak

arxiv:quant-ph/0412161 v3 · 2004-12-21 · 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{ZBUR5K6NUK255WPPNNAJ23ZCOL}

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	2026-05-18T01:37:58.102901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8691eabcda2b5ded9ef6b409d6f2272d29561228609f73d75e3e41411d4ec96

Aliases

arxiv: quant-ph/0412161 · arxiv_version: quant-ph/0412161v3 · doi: 10.48550/arxiv.quant-ph/0412161 · pith_short_12: ZBUR5K6NUK25 · pith_short_16: ZBUR5K6NUK255WPP · pith_short_8: ZBUR5K6N

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/ZBUR5K6NUK255WPPNNAJ23ZCOL \
  | 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: c8691eabcda2b5ded9ef6b409d6f2272d29561228609f73d75e3e41411d4ec96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752b357e20fb11f16638fc31af755e4d14e0808b23e4d012fdce46577f2e538f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-12-21T11:41:08Z",
    "title_canon_sha256": "c1f6f13a810fcf8a76b16aad93d0ef9e4f0db3fb1f1512f187f119591da3790a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0412161",
    "kind": "arxiv",
    "version": 3
  }
}