Pith Number

pith:BO7T6FBG

pith:2006:BO7T6FBGBBUBU4FTJR54KJH6FG

not attested not anchored not stored refs pending

Deviation bounds for additive functionals of Markov process

Arnaud Guillin (CEREMADE), Modal'x), Patrick Cattiaux (CMAP

arxiv:math/0603021 v1 · 2006-03-01 · 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{BO7T6FBGBBUBU4FTJR54KJH6FG}

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	2026-07-04T14:53:56.393425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bbf3f142608681a70b34c7bc524fe298809ad25f3e1684050c01d58047ca39d

Aliases

arxiv: math/0603021 · arxiv_version: math/0603021v1 · doi: 10.48550/arxiv.math/0603021 · pith_short_12: BO7T6FBGBBUB · pith_short_16: BO7T6FBGBBUBU4FT · pith_short_8: BO7T6FBG

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/BO7T6FBGBBUBU4FTJR54KJH6FG \
  | 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: 0bbf3f142608681a70b34c7bc524fe298809ad25f3e1684050c01d58047ca39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c2bf8f494add85c9aaf80e099bf3999f93eb1aa5fb45594261342d9d2c6c89",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-03-01T12:57:03Z",
    "title_canon_sha256": "1e00cba8bfa6ee252f23c953198d61cb0f32f35bc91b90b703532530b72c8186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603021",
    "kind": "arxiv",
    "version": 1
  }
}