Pith Number

pith:KOAQO6AM

pith:2017:KOAQO6AMSGPGVHNJ5PLDWFUZIP

not attested not anchored not stored refs pending

An upper bound on tricolored ordered sum-free sets

Sang-il Oum, Taegyun Kim

arxiv:1708.07263 v1 · 2017-08-24 · 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{KOAQO6AMSGPGVHNJ5PLDWFUZIP}

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	2026-05-18T00:36:46.745984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

538107780c919e6a9da9ebd63b169943eeacbc25853a071decf8f5db50bccd85

Aliases

arxiv: 1708.07263 · arxiv_version: 1708.07263v1 · doi: 10.48550/arxiv.1708.07263 · pith_short_12: KOAQO6AMSGPG · pith_short_16: KOAQO6AMSGPGVHNJ · pith_short_8: KOAQO6AM

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/KOAQO6AMSGPGVHNJ5PLDWFUZIP \
  | 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: 538107780c919e6a9da9ebd63b169943eeacbc25853a071decf8f5db50bccd85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b45e8dca7e61b560eb3b1c75c4cc599c6ce367d980e1649d184131158c98c686",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-24T03:10:09Z",
    "title_canon_sha256": "fc72fef18d793c73fad248337b033c73f59cf3b3a2e00257ba6129d24ff0f504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07263",
    "kind": "arxiv",
    "version": 1
  }
}