Pith Number

pith:U5Q3YHCL

pith:2026:U5Q3YHCLBCPPH25ZV2YTEJDMZM

not attested not anchored not stored refs pending

Quantum Dynamics of a Particle in a Linear Potential: Invariant Operator Approach and Discrete Spectrum Solutions

Aymen Bendjoudl, Mustapha Maamache

arxiv:2606.02112 v1 · 2026-06-01 · 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{U5Q3YHCLBCPPH25ZV2YTEJDMZM}

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	2026-06-02T02:05:06.768382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a761bc1c4b089ef3ebb9aeb132246ccb067badab438242f274af5dad68df69ec

Aliases

arxiv: 2606.02112 · arxiv_version: 2606.02112v1 · doi: 10.48550/arxiv.2606.02112 · pith_short_12: U5Q3YHCLBCPP · pith_short_16: U5Q3YHCLBCPPH25Z · pith_short_8: U5Q3YHCL

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/U5Q3YHCLBCPPH25ZV2YTEJDMZM \
  | 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: a761bc1c4b089ef3ebb9aeb132246ccb067badab438242f274af5dad68df69ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b6819ecbedfc0ccad2a04c7113612c8c2550f81b4603bd3fd7096640ee7201",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-01T11:44:09Z",
    "title_canon_sha256": "51a67937dcd095494482f6b277d7c686844480b5641d6431ed381ebc02df1dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02112",
    "kind": "arxiv",
    "version": 1
  }
}