Pith Number

pith:XGWZMJTR

pith:2015:XGWZMJTREVCN5EMYYRYPO63QTU

not attested not anchored not stored refs pending

Pattern formations and optimal packing

Vladimir Mityushev

arxiv:1509.02810 v1 · 2015-09-01 · cond-mat.soft · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGWZMJTREVCN5EMYYRYPO63QTU}

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	2026-05-18T01:33:33.208339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9ad9626712544de9198c470f77b709d329186152f34fc1d30696fbe6ba8f28e

Aliases

arxiv: 1509.02810 · arxiv_version: 1509.02810v1 · doi: 10.48550/arxiv.1509.02810 · pith_short_12: XGWZMJTREVCN · pith_short_16: XGWZMJTREVCN5EMY · pith_short_8: XGWZMJTR

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/XGWZMJTREVCN5EMYYRYPO63QTU \
  | 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: b9ad9626712544de9198c470f77b709d329186152f34fc1d30696fbe6ba8f28e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e7de02f815f76774cd9cf1b45ccc929a1ad0ca20add73d9ce4fc54bd072d405",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2015-09-01T16:26:33Z",
    "title_canon_sha256": "63fb7a0230c9f3ca3b87b888d610edc284b0e0d991ef4d701628f6b8752243ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02810",
    "kind": "arxiv",
    "version": 1
  }
}