Pith Number

pith:HCC7KUH7

pith:2016:HCC7KUH7CHI4IILB6WDW3MD5TW

not attested not anchored not stored refs pending

On the quasi-ergodic distribution of absorbing Markov processes

Guoman He, Hanjun Zhang, Yixia Zhu

arxiv:1611.01002 v4 · 2016-11-03 · 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{HCC7KUH7CHI4IILB6WDW3MD5TW}

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	2026-05-17T23:53:01.604468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3885f550ff11d1c42161f5876db07d9d8d9a605e0c92cbae773dc1ec24416f2e

Aliases

arxiv: 1611.01002 · arxiv_version: 1611.01002v4 · doi: 10.48550/arxiv.1611.01002 · pith_short_12: HCC7KUH7CHI4 · pith_short_16: HCC7KUH7CHI4IILB · pith_short_8: HCC7KUH7

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/HCC7KUH7CHI4IILB6WDW3MD5TW \
  | 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: 3885f550ff11d1c42161f5876db07d9d8d9a605e0c92cbae773dc1ec24416f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ef1c58463cca2716e5dbc2dff4e30b2a415ba8efe4b3ae1c62ffb5b329f9be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-03T13:30:26Z",
    "title_canon_sha256": "803023d075a3d9790550e6be508097629e69d26284b065d5d3613ed822657bac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01002",
    "kind": "arxiv",
    "version": 4
  }
}