Pith Number

pith:FHVC6N44

pith:2013:FHVC6N44AJBR2ZJ3EMWFNBKBOJ

not attested not anchored not stored refs pending

Roth's Theorem in the Piatetski-Shapiro primes

Mariusz Mirek

arxiv:1305.0043 v2 · 2013-04-30 · 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{FHVC6N44AJBR2ZJ3EMWFNBKBOJ}

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	2026-05-18T02:54:30.796442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29ea2f379c02431d653b232c568541726272ae1b4766ce1f8d58f9688e3ab112

Aliases

arxiv: 1305.0043 · arxiv_version: 1305.0043v2 · doi: 10.48550/arxiv.1305.0043 · pith_short_12: FHVC6N44AJBR · pith_short_16: FHVC6N44AJBR2ZJ3 · pith_short_8: FHVC6N44

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/FHVC6N44AJBR2ZJ3EMWFNBKBOJ \
  | 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: 29ea2f379c02431d653b232c568541726272ae1b4766ce1f8d58f9688e3ab112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9dcb161672086921ccad43c77cd687d0205003fbf4eaefb75e2e52481a74b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-04-30T22:30:36Z",
    "title_canon_sha256": "54a5d10cd0a0a1f93e73f8c480706dd3103e53aacdda4ed5a9fbbc2f79b9e51f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0043",
    "kind": "arxiv",
    "version": 2
  }
}