Pith Number

pith:DPGU7N2G

pith:2017:DPGU7N2G3Z76NERZM3YIEGBGVT

not attested not anchored not stored refs pending

On an equation involving fractional powers with prime numbers of a special type

Zhivko Petrov

arxiv:1705.07484 v1 · 2017-05-21 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPGU7N2G3Z76NERZM3YIEGBGVT}

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	2026-05-18T00:44:05.438272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcd4fb746de7fe6923966f0821826acdcc9b0024a614e28feb4c042a74bb1f8

Aliases

arxiv: 1705.07484 · arxiv_version: 1705.07484v1 · doi: 10.48550/arxiv.1705.07484 · pith_short_12: DPGU7N2G3Z76 · pith_short_16: DPGU7N2G3Z76NERZ · pith_short_8: DPGU7N2G

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/DPGU7N2G3Z76NERZM3YIEGBGVT \
  | 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: 1bcd4fb746de7fe6923966f0821826acdcc9b0024a614e28feb4c042a74bb1f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "549a9148af7c8e9e1b92d1650fd98b904112338850045f0477cc3825cae65173",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-05-21T18:45:55Z",
    "title_canon_sha256": "8fdee5d0c1bb0c6a827f2cddd7be1108dc049eef172ae854d757f6c401547239"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07484",
    "kind": "arxiv",
    "version": 1
  }
}