Pith Number

pith:GAXT7R6R

pith:2016:GAXT7R6RN3ADZHCRJHK47Z2UXB

not attested not anchored not stored refs pending

Multiplicative bases and an Erd\H{o}s problem

Csaba S\'andor, P\'eter P\'al Pach

arxiv:1602.06724 v1 · 2016-02-22 · 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{GAXT7R6RN3ADZHCRJHK47Z2UXB}

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	2026-05-18T01:20:13.285131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

302f3fc7d16ec03c9c5149d5cfe754b870c6b512e531afbb3575c3dfa8b5839e

Aliases

arxiv: 1602.06724 · arxiv_version: 1602.06724v1 · doi: 10.48550/arxiv.1602.06724 · pith_short_12: GAXT7R6RN3AD · pith_short_16: GAXT7R6RN3ADZHCR · pith_short_8: GAXT7R6R

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/GAXT7R6RN3ADZHCRJHK47Z2UXB \
  | 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: 302f3fc7d16ec03c9c5149d5cfe754b870c6b512e531afbb3575c3dfa8b5839e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4412054777910ec38014b98a162a39d9d16cad2e3b1df4f2ef8daff5b65dfe1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-22T11:04:31Z",
    "title_canon_sha256": "2446e10dc08b621501412b8e3a1e8c5d6485a9cc04548580bf6d3a7a275c1fb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06724",
    "kind": "arxiv",
    "version": 1
  }
}