Pith Number

pith:HMJU6RPS

pith:2016:HMJU6RPSTFM5MNZIGQQLQIBURB

not attested not anchored not stored refs pending

Upper bounds for $B_h[g]$-sets with small $h$

Craig Timmons

arxiv:1604.00661 v1 · 2016-04-03 · math.CO · 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{HMJU6RPSTFM5MNZIGQQLQIBURB}

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	2026-05-18T01:17:48.752973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b134f45f29959d637283420b82034885eab13d204880601816f3c4f6dd84a6e

Aliases

arxiv: 1604.00661 · arxiv_version: 1604.00661v1 · doi: 10.48550/arxiv.1604.00661 · pith_short_12: HMJU6RPSTFM5 · pith_short_16: HMJU6RPSTFM5MNZI · pith_short_8: HMJU6RPS

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/HMJU6RPSTFM5MNZIGQQLQIBURB \
  | 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: 3b134f45f29959d637283420b82034885eab13d204880601816f3c4f6dd84a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dec1cbfb303653cbbd52d27cfb116c9705e18081b75127e240bbf98338849dbb",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-03T17:38:48Z",
    "title_canon_sha256": "17f7ac9738ad3968668b3e59d4ac068fd3b2b80b515e76979df0397fe0699208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00661",
    "kind": "arxiv",
    "version": 1
  }
}