Pith Number

pith:STAK6ACG

pith:2024:STAK6ACGIEFI77G6527P3AAWAB

not attested not anchored not stored refs pending

Minimizing Lattice Energy and Hexagonal Crystallization

Kaixin Deng, Senping Luo

arxiv:2411.17199 v1 · 2024-11-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{STAK6ACGIEFI77G6527P3AAWAB}

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.

Cited by

1 paper in Pith

Signs of high order derivatives for the theta and Epstein zeta functions and application

Receipt and verification

First computed	2026-07-05T09:40:28.937507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94c0af0046410a8ffcdeeebefd80160065e7429f2e73bddb42dea96aa5c240a5

Aliases

arxiv: 2411.17199 · arxiv_version: 2411.17199v1 · doi: 10.48550/arxiv.2411.17199 · pith_short_12: STAK6ACGIEFI · pith_short_16: STAK6ACGIEFI77G6 · pith_short_8: STAK6ACG

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/STAK6ACGIEFI77G6527P3AAWAB \
  | 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: 94c0af0046410a8ffcdeeebefd80160065e7429f2e73bddb42dea96aa5c240a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8e847dc925e839cafca688b619a520f29f002b1da3e0fa44b15c1ab302690c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-26T08:12:13Z",
    "title_canon_sha256": "50addd4a0b54355b9c789a40f7d188b922dcdc5aa0f389d1799114d5b5adaed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17199",
    "kind": "arxiv",
    "version": 1
  }
}