Pith Number

pith:FX6DEXBW

pith:2011:FX6DEXBWMYBYJNLBE6EGNIRS6M

not attested not anchored not stored refs pending

Markov Evolution of Continuum Particle Systems with Dispersion and Competition

Dmitri Finkelshtein, Oleksandr Kutoviy, Yuri Kondratiev, Yuri Kozitsky

arxiv:1112.0895 v2 · 2011-12-05 · math-ph · math.DS · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FX6DEXBWMYBYJNLBE6EGNIRS6M}

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	2026-05-18T03:58:26.225710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dfc325c36660384b561278866a232f335c7f0b258c24239bb3d5a8e4f23023f

Aliases

arxiv: 1112.0895 · arxiv_version: 1112.0895v2 · doi: 10.48550/arxiv.1112.0895 · pith_short_12: FX6DEXBWMYBY · pith_short_16: FX6DEXBWMYBYJNLB · pith_short_8: FX6DEXBW

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/FX6DEXBWMYBYJNLBE6EGNIRS6M \
  | 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: 2dfc325c36660384b561278866a232f335c7f0b258c24239bb3d5a8e4f23023f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa0644d24e7e3414f7b60e7fab4793820a97f5735e72b73559f14028e88fb72a",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-05T11:51:25Z",
    "title_canon_sha256": "6ed38baa490940c83c44267d77283e8d944f3974cb414424643951c75da9d608"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0895",
    "kind": "arxiv",
    "version": 2
  }
}