Pith Number

pith:MZRF4B35

pith:2013:MZRF4B355N2ZNGV6DDIPSNUDWA

not attested not anchored not stored refs pending

Renyi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals

Alexander I. Aptekarev, D.N. Tulyakov, Jesus S. Dehesa, Pablo S\'anchez-Moreno

arxiv:1305.4743 v1 · 2013-05-21 · 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{MZRF4B355N2ZNGV6DDIPSNUDWA}

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	2026-05-18T03:25:15.337182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66625e077deb75969abe18d0f93683b01cd7178775ff49dfd5246c3ebce7ea5e

Aliases

arxiv: 1305.4743 · arxiv_version: 1305.4743v1 · doi: 10.48550/arxiv.1305.4743 · pith_short_12: MZRF4B355N2Z · pith_short_16: MZRF4B355N2ZNGV6 · pith_short_8: MZRF4B35

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/MZRF4B355N2ZNGV6DDIPSNUDWA \
  | 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: 66625e077deb75969abe18d0f93683b01cd7178775ff49dfd5246c3ebce7ea5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87802dd363492856270201b1f4e8471a662b2a742cc39d3a0fcf8e456b290bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-05-21T07:49:57Z",
    "title_canon_sha256": "b65ba7950001dba596baeb0dbc916fae90c865216047d995d21a9b774232f776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4743",
    "kind": "arxiv",
    "version": 1
  }
}