Pith Number

pith:KYH5E74E

pith:2026:KYH5E74EB74BKTQNV7VCNO5P6M

not attested not anchored not stored refs pending

New bounds for double covers of the discrete box {0,1,2}^d

Patrick White

arxiv:2607.09014 v1 · 2026-07-10 · 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{KYH5E74EB74BKTQNV7VCNO5P6M}

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	2026-07-13T00:17:34.365861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560fd27f840ff8154e0dafea26bbaff3158d69bd984be022cdf6b1adc0c4a0ff

Aliases

arxiv: 2607.09014 · arxiv_version: 2607.09014v1 · doi: 10.48550/arxiv.2607.09014 · pith_short_12: KYH5E74EB74B · pith_short_16: KYH5E74EB74BKTQN · pith_short_8: KYH5E74E

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/KYH5E74EB74BKTQNV7VCNO5P6M \
  | 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: 560fd27f840ff8154e0dafea26bbaff3158d69bd984be022cdf6b1adc0c4a0ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a53a0340f26c3e5deed852d740f69b4a02a014d90f09408685e2ca653cb74e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-10T00:41:09Z",
    "title_canon_sha256": "6281851aeb8694d0e788889be2e07c8aff415260f14e11c0cc048ddf59bd2424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09014",
    "kind": "arxiv",
    "version": 1
  }
}