Pith Number

pith:XI6BXHBR

pith:2017:XI6BXHBRI4IYGBPCA5YJEPMD65

not attested not anchored not stored refs pending

From a $(p,2)$-Theorem to a Tight $(p,q)$-Theorem

Chaya Keller, Shakhar Smorodinsky

arxiv:1712.04552 v1 · 2017-12-12 · 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{XI6BXHBRI4IYGBPCA5YJEPMD65}

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	2026-05-18T00:28:07.624524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3c1b9c3147118305e20770923d83f74807bf8048abd8cb5bdfcc2b7491fb77

Aliases

arxiv: 1712.04552 · arxiv_version: 1712.04552v1 · doi: 10.48550/arxiv.1712.04552 · pith_short_12: XI6BXHBRI4IY · pith_short_16: XI6BXHBRI4IYGBPC · pith_short_8: XI6BXHBR

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/XI6BXHBRI4IYGBPCA5YJEPMD65 \
  | 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: ba3c1b9c3147118305e20770923d83f74807bf8048abd8cb5bdfcc2b7491fb77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4be3d42fdbdf09f5bbc1b9b9ae01a1561e58f3498f933ec9e19d908909ab9c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-12T22:23:37Z",
    "title_canon_sha256": "fe100a0de63137f3564f1fe1fd5ae53db4517fc0342796b9061f4c397981c2be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04552",
    "kind": "arxiv",
    "version": 1
  }
}