Pith Number

pith:4HHVQ7YO

pith:2017:4HHVQ7YOF7DDTQZ2FOIVUVUX5U

not attested not anchored not stored refs pending

On the quantum mechanical derivation of the Wallis formula for $\pi$

O.I Chashchina, Z.K. Silagadze

arxiv:1704.06153 v2 · 2017-04-20 · math-ph · hep-th · 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{4HHVQ7YOF7DDTQZ2FOIVUVUX5U}

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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.

Cited by

2 papers in Pith

Quantum Realization of the Wallis Formula

Emergence of $\pi$ from Equatorial Quantum Localization

Receipt and verification

First computed	2026-05-18T00:40:13.062445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1cf587f0e2fc639c33a2b915a5697ed226335e04fd05757f03f67ab0abea5df

Aliases

arxiv: 1704.06153 · arxiv_version: 1704.06153v2 · doi: 10.48550/arxiv.1704.06153 · pith_short_12: 4HHVQ7YOF7DD · pith_short_16: 4HHVQ7YOF7DDTQZ2 · pith_short_8: 4HHVQ7YO

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/4HHVQ7YOF7DDTQZ2FOIVUVUX5U \
  | 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: e1cf587f0e2fc639c33a2b915a5697ed226335e04fd05757f03f67ab0abea5df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c39d7e3bdf6472ab326720e78423857ff034fb93d34b19795189531603bfd864",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-04-20T14:07:12Z",
    "title_canon_sha256": "60bf2544d513d722138ff3896cd7ad30c8cc31c62e14f2882203540ff147e751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06153",
    "kind": "arxiv",
    "version": 2
  }
}