Pith Number

pith:ASXUBSNJ

pith:2021:ASXUBSNJUWH4HUGWDQCNE57QU6

not attested not anchored not stored refs pending

On the number of sum-free triplets of sets

Igor Araujo, J\'ozsef Balogh, Ramon I. Garcia

arxiv:2101.05914 v2 · 2021-01-15 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ASXUBSNJUWH4HUGWDQCNE57QU6}

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	2026-07-05T03:07:04.519201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04af40c9a9a58fc3d0d61c04d277f0a7b6a94a6689f43a6046de32b4ac7bbdbe

Aliases

arxiv: 2101.05914 · arxiv_version: 2101.05914v2 · doi: 10.48550/arxiv.2101.05914 · pith_short_12: ASXUBSNJUWH4 · pith_short_16: ASXUBSNJUWH4HUGW · pith_short_8: ASXUBSNJ

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/ASXUBSNJUWH4HUGWDQCNE57QU6 \
  | 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: 04af40c9a9a58fc3d0d61c04d277f0a7b6a94a6689f43a6046de32b4ac7bbdbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28f217aae4bda9a4e6c9071b4cd4ddf1ce12b32d9c082da5b1640a67cc01854",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-01-15T00:02:57Z",
    "title_canon_sha256": "f5e4ea4a4e9dcca047880a0cb4f65793d715b3f81670886ebb83cbcbe79a830e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05914",
    "kind": "arxiv",
    "version": 2
  }
}