Pith Number

pith:AIUQHCS2

pith:2013:AIUQHCS2OCMO6SIGMO7JJP3W2O

not attested not anchored not stored refs pending

Uniformity of multiplicative functions and partition regularity of some quadratic equations

Bernard Host, Nikos Frantzikinakis

arxiv:1303.4329 v2 · 2013-03-18 · math.CO · math.DS · 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{AIUQHCS2OCMO6SIGMO7JJP3W2O}

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	2026-05-18T02:57:00.013526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0229038a5a7098ef490663be94bf76d3952758968264ef2e9455f714c821b0d4

Aliases

arxiv: 1303.4329 · arxiv_version: 1303.4329v2 · doi: 10.48550/arxiv.1303.4329 · pith_short_12: AIUQHCS2OCMO · pith_short_16: AIUQHCS2OCMO6SIG · pith_short_8: AIUQHCS2

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/AIUQHCS2OCMO6SIGMO7JJP3W2O \
  | 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: 0229038a5a7098ef490663be94bf76d3952758968264ef2e9455f714c821b0d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a680586c44c5679a38af1887070db1908dc6795cefb18d781dc2a5ac98b43931",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-18T17:35:05Z",
    "title_canon_sha256": "f8c8efaa8c857ccedb3932ac33645100a309c6b910985907c7b9306adb06e99c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4329",
    "kind": "arxiv",
    "version": 2
  }
}