Pith Number

pith:CCFQLUEU

pith:2019:CCFQLUEUIJABTC6ET6CNABXFK7

not attested not anchored not stored refs pending

Classifications of $\ell$-Zero-Sumfree Sets

Ashleigh Adams, Carole Hall, Eric Stucky

arxiv:1904.08989 v3 · 2019-04-18 · 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{CCFQLUEUIJABTC6ET6CNABXFK7}

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	2026-05-17T23:42:32.329284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108b05d0944240198bc49f84d006e557f9dde0a05d007a01a96b88eddc1498db

Aliases

arxiv: 1904.08989 · arxiv_version: 1904.08989v3 · doi: 10.48550/arxiv.1904.08989 · pith_short_12: CCFQLUEUIJAB · pith_short_16: CCFQLUEUIJABTC6E · pith_short_8: CCFQLUEU

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/CCFQLUEUIJABTC6ET6CNABXFK7 \
  | 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: 108b05d0944240198bc49f84d006e557f9dde0a05d007a01a96b88eddc1498db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f99bf8ebe33b18d61154e223b2d9d7f2423cadb3ce18df573c8b693ed3445810",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-18T20:02:38Z",
    "title_canon_sha256": "c1fb4e289d8307f4a094e8de1a8c2b789cb3743d70619d5b23e6eb5b395980e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08989",
    "kind": "arxiv",
    "version": 3
  }
}