Pith Number

pith:POXMDRXX

pith:2017:POXMDRXX5G7BKZC3TM2RQEPFTN

not attested not anchored not stored refs pending

Maximum number of sum-free colorings in finite abelian groups

Andrea Jim\'enez, Hiep H\`an

arxiv:1710.08352 v1 · 2017-10-23 · 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{POXMDRXX5G7BKZC3TM2RQEPFTN}

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	2026-05-18T00:32:16.633278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7baec1c6f7e9be15645b9b351811e59b63254a29c178a3063a90ff8a25b5f2c6

Aliases

arxiv: 1710.08352 · arxiv_version: 1710.08352v1 · doi: 10.48550/arxiv.1710.08352 · pith_short_12: POXMDRXX5G7B · pith_short_16: POXMDRXX5G7BKZC3 · pith_short_8: POXMDRXX

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/POXMDRXX5G7BKZC3TM2RQEPFTN \
  | 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: 7baec1c6f7e9be15645b9b351811e59b63254a29c178a3063a90ff8a25b5f2c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "047fd62e455257f1c5f820d6531a4aee59b50afa07b1232bfda87d9bbf8a4b24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-23T15:53:03Z",
    "title_canon_sha256": "55323e975b7b10026e4d502b0b6158b8cb23f2c3e01f15dbb8fa3d2fd8df0092"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08352",
    "kind": "arxiv",
    "version": 1
  }
}