Pith Number

pith:DHM6ARGU

pith:2016:DHM6ARGUDXTI4NAZC4QSKOWSRN

not attested not anchored not stored refs pending

The two subset recurrent property of Markov chains

Lars Holden

arxiv:1602.07056 v1 · 2016-02-23 · stat.ME · 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{DHM6ARGUDXTI4NAZC4QSKOWSRN}

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	2026-05-18T01:20:07.294405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19d9e044d41de68e34191721253ad28b5de14aaa5a01e5d46ec6880a5057008d

Aliases

arxiv: 1602.07056 · arxiv_version: 1602.07056v1 · doi: 10.48550/arxiv.1602.07056 · pith_short_12: DHM6ARGUDXTI · pith_short_16: DHM6ARGUDXTI4NAZ · pith_short_8: DHM6ARGU

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/DHM6ARGUDXTI4NAZC4QSKOWSRN \
  | 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: 19d9e044d41de68e34191721253ad28b5de14aaa5a01e5d46ec6880a5057008d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b580f0f4a50e68e73a73b0f3c1dae3e1d00fc1426e7f616c67bdc22874b802",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-02-23T07:06:32Z",
    "title_canon_sha256": "c707b082aaed92ffea1ba1d1fc86868c50fff26de82e1ff5f9989bf5e5e41315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07056",
    "kind": "arxiv",
    "version": 1
  }
}