Pith Number

pith:SFHHT6PL

pith:2017:SFHHT6PLWYIGYAOIKLK4CA3MVQ

not attested not anchored not stored refs pending

Asymptotic period of an aperiodic Markov chain

Erik A. van Doorn

arxiv:1712.10199 v2 · 2017-12-29 · 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{SFHHT6PLWYIGYAOIKLK4CA3MVQ}

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	2026-05-17T23:52:18.712251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914e79f9ebb6106c01c852d5c1036cac3d6a553f7d8ec1c879016d62a88a95e5

Aliases

arxiv: 1712.10199 · arxiv_version: 1712.10199v2 · doi: 10.48550/arxiv.1712.10199 · pith_short_12: SFHHT6PLWYIG · pith_short_16: SFHHT6PLWYIGYAOI · pith_short_8: SFHHT6PL

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/SFHHT6PLWYIGYAOIKLK4CA3MVQ \
  | 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: 914e79f9ebb6106c01c852d5c1036cac3d6a553f7d8ec1c879016d62a88a95e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1a7973c1afddf0ca3b3a8ce342b62159681139f104faabbcb77b38af82a613",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-29T12:16:41Z",
    "title_canon_sha256": "5b0b2591987a1c1b4cf539f2baa052c5f6fa0ff8f563cc94945c33d3ac8be26b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10199",
    "kind": "arxiv",
    "version": 2
  }
}