Pith Number

pith:NWUS2QWU

pith:2011:NWUS2QWUCHME66DDCZFXZBMXWG

not attested not anchored not stored refs pending

Markov evolutions and hierarchical equations in the continuum: II. Multicomponent systems

Dmitri L. Finkelshtein, Maria Jo\~ao Oliveira, Yuri G. Kondratiev

arxiv:1106.4946 v1 · 2011-06-24 · math-ph · 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{NWUS2QWUCHME66DDCZFXZBMXWG}

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	2026-05-18T03:29:40.907452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6da92d42d411d84f7863164b7c8597b18d75b1ef4dc8c80262c640bbc322fb5c

Aliases

arxiv: 1106.4946 · arxiv_version: 1106.4946v1 · doi: 10.48550/arxiv.1106.4946 · pith_short_12: NWUS2QWUCHME · pith_short_16: NWUS2QWUCHME66DD · pith_short_8: NWUS2QWU

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/NWUS2QWUCHME66DDCZFXZBMXWG \
  | 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: 6da92d42d411d84f7863164b7c8597b18d75b1ef4dc8c80262c640bbc322fb5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9b98d1636ff511fc07124db1a85dd1d141c8cf14abf51c4c6ebb7171f00bb1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-24T11:55:59Z",
    "title_canon_sha256": "f529d2674aa2bf67e3b5b1ce348f5d74c007a8b9b4de70247e4cfa0162d76170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4946",
    "kind": "arxiv",
    "version": 1
  }
}