Pith Number

pith:V2VVGR5K

pith:2017:V2VVGR5KTVNDTNGUTVDTQT5SQ3

not attested not anchored not stored refs pending

Unified theory for finite Markov chains

Anne Schilling, John Rhodes

arxiv:1711.10689 v3 · 2017-11-29 · math.PR · math.CO · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2VVGR5KTVNDTNGUTVDTQT5SQ3}

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	2026-05-17T23:51:49.603225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeab5347aa9d5a39b4d49d47384fb286c37046ed9cd9db4ea8888b495f5b07f1

Aliases

arxiv: 1711.10689 · arxiv_version: 1711.10689v3 · doi: 10.48550/arxiv.1711.10689 · pith_short_12: V2VVGR5KTVND · pith_short_16: V2VVGR5KTVNDTNGU · pith_short_8: V2VVGR5K

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/V2VVGR5KTVNDTNGUTVDTQT5SQ3 \
  | 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: aeab5347aa9d5a39b4d49d47384fb286c37046ed9cd9db4ea8888b495f5b07f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdd80409ee4c5fbb048087a2353146441c1a87e4d8ffdabbc5d07ab4a5dd7034",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-11-29T05:53:06Z",
    "title_canon_sha256": "18a0e9c9544d45f884f366d907c8908ff1d6ab73b01d589164c6f1a617f4ffcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10689",
    "kind": "arxiv",
    "version": 3
  }
}