Pith Number

pith:HESZ7GPW

pith:2022:HESZ7GPWPYNPKGZCDA6D4GIP4P

not attested not anchored not stored refs pending

On Minima of Difference of Epstein Zeta Functions and Exact Solutions to Lennard-Jones Lattice Energy

Juncheng Wei, Senping Luo

arxiv:2212.10727 v1 · 2022-12-21 · math.AP · 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{HESZ7GPWPYNPKGZCDA6D4GIP4P}

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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.

Cited by

1 paper in Pith

On crystallization in the plane for pair potentials with an arbitrary norm

Receipt and verification

First computed	2026-07-05T05:27:22.272348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39259f99f67e1af51b22183c3e190fe3db1554a1e67fd9484ef3d7c5c7ee9d33

Aliases

arxiv: 2212.10727 · arxiv_version: 2212.10727v1 · doi: 10.48550/arxiv.2212.10727 · pith_short_12: HESZ7GPWPYNP · pith_short_16: HESZ7GPWPYNPKGZC · pith_short_8: HESZ7GPW

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/HESZ7GPWPYNPKGZCDA6D4GIP4P \
  | 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: 39259f99f67e1af51b22183c3e190fe3db1554a1e67fd9484ef3d7c5c7ee9d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697b7ddd13cfeea15266e901818470499730b856c1e06d32ab6464bf40619518",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-12-21T02:46:30Z",
    "title_canon_sha256": "a6347791ae247fb769a18cea0ff9d0973015358774ec8b928bfb8cfdd5b40204"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10727",
    "kind": "arxiv",
    "version": 1
  }
}