Pith Number

pith:FHTUVPZK

pith:2016:FHTUVPZKAPCAQTNJHSHFJOMOGJ

not attested not anchored not stored refs pending

Averaging for some simple constrained Markov processes

Alexandre Genadot

arxiv:1606.07577 v2 · 2016-06-24 · 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{FHTUVPZKAPCAQTNJHSHFJOMOGJ}

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	2026-05-18T01:07:20.391074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29e74abf2a03c4084da93c8e54b98e327c26cfa93cd582ac8e2aeb4c0aeeac78

Aliases

arxiv: 1606.07577 · arxiv_version: 1606.07577v2 · doi: 10.48550/arxiv.1606.07577 · pith_short_12: FHTUVPZKAPCA · pith_short_16: FHTUVPZKAPCAQTNJ · pith_short_8: FHTUVPZK

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/FHTUVPZKAPCAQTNJHSHFJOMOGJ \
  | 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: 29e74abf2a03c4084da93c8e54b98e327c26cfa93cd582ac8e2aeb4c0aeeac78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b7d8acabe15583bbf1a22847e96fee55c0d1c07c6284ab93cfbe85e680dc6aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-24T06:26:00Z",
    "title_canon_sha256": "5d78151cce916e1316be28f19ad4b658db6a13a79970cead14c86d9d5aea0d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07577",
    "kind": "arxiv",
    "version": 2
  }
}