Pith Number

pith:DEO3IIXO

pith:2016:DEO3IIXOWH4IRJXUXO2ZB3ZC63

not attested not anchored not stored refs pending

Doob-Martin compactification of a Markov chain for growing random words sequentially

Hye Soo Choi, Steven N. Evans

arxiv:1605.03512 v2 · 2016-05-11 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DEO3IIXOWH4IRJXUXO2ZB3ZC63}

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	2026-05-18T00:54:10.756090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

191db422eeb1f888a6f4bbb590ef22f6c346a123a696c20ba3241d877424cbae

Aliases

arxiv: 1605.03512 · arxiv_version: 1605.03512v2 · doi: 10.48550/arxiv.1605.03512 · pith_short_12: DEO3IIXOWH4I · pith_short_16: DEO3IIXOWH4IRJXU · pith_short_8: DEO3IIXO

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/DEO3IIXOWH4IRJXUXO2ZB3ZC63 \
  | 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: 191db422eeb1f888a6f4bbb590ef22f6c346a123a696c20ba3241d877424cbae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb1cd1fe4c41e42913ef46852a54c7ea3fd318cc74fdb788acb43276c7b93f6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-11T16:57:50Z",
    "title_canon_sha256": "ca4125ce10a0adf27226039967b880dd8f920bf1fcb1f5f15b3616cc9dd0cac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03512",
    "kind": "arxiv",
    "version": 2
  }
}