Pith Number

pith:ZKKFTT2G

pith:2011:ZKKFTT2G3TX5PSFCWJ46SOUCOP

not attested not anchored not stored refs pending

Multilevel coarse graining and nano--pattern discovery in many particle stochastic systems

Dionisios G Vlachos, Evangelia Kalligiannaki, Markos A. Katsoulakis, Petr Plechac

arxiv:1109.0459 v1 · 2011-09-02 · math.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKKFTT2G3TX5PSFCWJ46SOUCOP}

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	2026-05-18T02:00:42.657943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca9459cf46dcefd7c8a2b279e93a8273dca9538dcad73f8455b383274d5b795f

Aliases

arxiv: 1109.0459 · arxiv_version: 1109.0459v1 · doi: 10.48550/arxiv.1109.0459 · pith_short_12: ZKKFTT2G3TX5 · pith_short_16: ZKKFTT2G3TX5PSFC · pith_short_8: ZKKFTT2G

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/ZKKFTT2G3TX5PSFCWJ46SOUCOP \
  | 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: ca9459cf46dcefd7c8a2b279e93a8273dca9538dcad73f8455b383274d5b795f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d63a10b2e884db4ac8a387c32969d2003a95e555f5cd2e3602015c2833082cdd",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-09-02T14:46:33Z",
    "title_canon_sha256": "e25260ed793c4a64179a37f40ec3cfd3c97fb5661ab19c2fe13644b252837dcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0459",
    "kind": "arxiv",
    "version": 1
  }
}