Pith Number

pith:4CGM7D3Y

pith:2010:4CGM7D3YQIQCNAXL3KS7NX3S3T

not attested not anchored not stored refs pending

Extending the class of solvable potentials: III. The hyperbolic single wave

A. D. Alhaidari, H. Bahlouli

arxiv:1004.3906 v1 · 2010-04-22 · math-ph · math.MP · 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{4CGM7D3YQIQCNAXL3KS7NX3S3T}

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	2026-05-18T02:07:55.127150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08ccf8f7882202682ebdaa5f6df72dcd9c1ac34b41342da506e578705260018

Aliases

arxiv: 1004.3906 · arxiv_version: 1004.3906v1 · doi: 10.48550/arxiv.1004.3906 · pith_short_12: 4CGM7D3YQIQC · pith_short_16: 4CGM7D3YQIQCNAXL · pith_short_8: 4CGM7D3Y

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/4CGM7D3YQIQCNAXL3KS7NX3S3T \
  | 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: e08ccf8f7882202682ebdaa5f6df72dcd9c1ac34b41342da506e578705260018

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5881e44e9dba43a4273dfecb0f397d09aebe60c5a45fa1c63ea10c5d405fce6",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-22T12:51:17Z",
    "title_canon_sha256": "60e95be4dae79335f43b494541da9bb74f88d2fdce81d7c61de84212130d27ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3906",
    "kind": "arxiv",
    "version": 1
  }
}