Pith Number

pith:AAJ57C7R

pith:2025:AAJ57C7R3JJPEELOQSSVBP3QCH

not attested not anchored not stored refs pending

On the emergence of almost-honeycomb structures in low-energy planar clusters

Francesco Maggi, Kenneth DeMason, Marco Caroccia

arxiv:2501.05373 v1 · 2025-01-09 · math.OC · math-ph · math.DG · 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{AAJ57C7R3JJPEELOQSSVBP3QCH}

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	2026-07-05T09:59:08.936000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0013df8bf1da52f2116e84a550bf7011d3ba5933766117a60666e47b1117c693

Aliases

arxiv: 2501.05373 · arxiv_version: 2501.05373v1 · doi: 10.48550/arxiv.2501.05373 · pith_short_12: AAJ57C7R3JJP · pith_short_16: AAJ57C7R3JJPEELO · pith_short_8: AAJ57C7R

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/AAJ57C7R3JJPEELOQSSVBP3QCH \
  | 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: 0013df8bf1da52f2116e84a550bf7011d3ba5933766117a60666e47b1117c693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de879097c5b6ec841f3d67654d517ad8d7f461263cf86ff0ab1ab6cf64bed1c3",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-09T16:57:54Z",
    "title_canon_sha256": "d1a52c24762eb92b5700442eff061cff371375bd7f524a9e9c5624e0c414c292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.05373",
    "kind": "arxiv",
    "version": 1
  }
}