Pith Number

pith:6Y7GRYQC

pith:2013:6Y7GRYQCJSID5YSECE4UMXPJ6B

not attested not anchored not stored refs pending

On the Union of Arithmetic Progressions

Rom Pinchasi, Shoni Gilboa

arxiv:1310.4348 v1 · 2013-10-16 · 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{6Y7GRYQCJSID5YSECE4UMXPJ6B}

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	2026-05-18T00:44:39.170172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f63e68e2024c903ee2441139465de9f04af2aafda7df6cb069889b520ebec917

Aliases

arxiv: 1310.4348 · arxiv_version: 1310.4348v1 · doi: 10.48550/arxiv.1310.4348 · pith_short_12: 6Y7GRYQCJSID · pith_short_16: 6Y7GRYQCJSID5YSE · pith_short_8: 6Y7GRYQC

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/6Y7GRYQCJSID5YSECE4UMXPJ6B \
  | 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: f63e68e2024c903ee2441139465de9f04af2aafda7df6cb069889b520ebec917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fa59a3cd4989a9779e9d27a8f1b937f49117e9544d491403f5f0a218e29d6d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-16T12:30:36Z",
    "title_canon_sha256": "02496791f917a8ccd7a6dd0c88212c3b82af1afee9dde0cf1b11f7882d17aa19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4348",
    "kind": "arxiv",
    "version": 1
  }
}