Pith Number

pith:2SHUGAOU

pith:2012:2SHUGAOU2G63MCPPRORPBR65HQ

not attested not anchored not stored refs pending

Weak Markov Processes as Linear Systems

Rolf Gohm

arxiv:1206.0378 v2 · 2012-06-02 · math.FA · math.OA · quant-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{2SHUGAOU2G63MCPPRORPBR65HQ}

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	2026-05-18T02:03:45.552209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d48f4301d4d1bdb609ef8ba2f0c7dd3c38d8a1fbd4c88d4caf1e003938b383c6

Aliases

arxiv: 1206.0378 · arxiv_version: 1206.0378v2 · doi: 10.48550/arxiv.1206.0378 · pith_short_12: 2SHUGAOU2G63 · pith_short_16: 2SHUGAOU2G63MCPP · pith_short_8: 2SHUGAOU

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/2SHUGAOU2G63MCPPRORPBR65HQ \
  | 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: d48f4301d4d1bdb609ef8ba2f0c7dd3c38d8a1fbd4c88d4caf1e003938b383c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e66b8a612032169e3f23dfb8ddc4bf2b68051c8a3656a921f857e99a744fab",
    "cross_cats_sorted": [
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-02T13:14:06Z",
    "title_canon_sha256": "1df03c9971de6ff3e03fb3a050748fdfa2992a98e89598ce8b70320c9d11347e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0378",
    "kind": "arxiv",
    "version": 2
  }
}