Pith Number

pith:D2LHDDQT

pith:2016:D2LHDDQT5YGA6JH27WNTFLQQMH

not attested not anchored not stored refs pending

On the equation $p \frac{\Gamma(\frac{n}{2}-\frac{s}{p-1})\Gamma(s+\frac{s}{p-1})}{\Gamma(\frac{s}{p-1})\Gamma(\frac{n-2s}{2}-\frac{s}{p-1})} =\frac{\Gamma(\frac{n+2s}{4})^2}{\Gamma(\frac{n-2s}{4})^2}$

Juncheng Wei, Senping Luo, Wenming Zou

arxiv:1606.06706 v1 · 2016-06-21 · math.AP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2LHDDQT5YGA6JH27WNTFLQQMH}

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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.

Receipt and verification

First computed	2026-05-18T01:12:08.962239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e96718e13ee0c0f24fafd9b32ae1061d74ee4d6be0127c7a03bddfa6d395128

Aliases

arxiv: 1606.06706 · arxiv_version: 1606.06706v1 · doi: 10.48550/arxiv.1606.06706 · pith_short_12: D2LHDDQT5YGA · pith_short_16: D2LHDDQT5YGA6JH2 · pith_short_8: D2LHDDQT

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/D2LHDDQT5YGA6JH27WNTFLQQMH \
  | 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: 1e96718e13ee0c0f24fafd9b32ae1061d74ee4d6be0127c7a03bddfa6d395128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a433d036050c443ebf5939838fc42a67c4c8294fc3ebf9b671ddaf9f607cff4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-21T18:59:18Z",
    "title_canon_sha256": "16ff8dfe5afa6af007ad6b0c57b83119687ed5ec6c07687c2811c3535324d9d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06706",
    "kind": "arxiv",
    "version": 1
  }
}