Pith Number

pith:JQNKLLH6

pith:2026:JQNKLLH6BUO7UWKU6DWRYNJFAN

not attested not anchored not stored refs pending

A new upper bound on the dimer constant of $\mathbb{Z}^3$

Qidong He

arxiv:2607.28810 v1 · 2026-07-30 · math.CO · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQNKLLH6BUO7UWKU6DWRYNJFAN}

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	2026-08-03T00:13:05.723943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c1aa5acfe0d1dfa5954f0ed1c35250359d8e9cab4375fb8c88fa9cf721a7b95

Aliases

arxiv: 2607.28810 · arxiv_version: 2607.28810v1 · doi: 10.48550/arxiv.2607.28810 · pith_short_12: JQNKLLH6BUO7 · pith_short_16: JQNKLLH6BUO7UWKU · pith_short_8: JQNKLLH6

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/JQNKLLH6BUO7UWKU6DWRYNJFAN \
  | 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: 4c1aa5acfe0d1dfa5954f0ed1c35250359d8e9cab4375fb8c88fa9cf721a7b95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5b3c03cdabdd4c70b5ce6d38db5597ca6e9424731da837e44c67ebe4877dca5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-30T20:13:33Z",
    "title_canon_sha256": "8ce0e398808cd1c7bc8286d11110b37dd9057b4d07b0e35c00f91f95bcbda9b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28810",
    "kind": "arxiv",
    "version": 1
  }
}