Pith Number

pith:S4OI2N6N

pith:2015:S4OI2N6NGTU5SSFIKEYFXXH2YP

not attested not anchored not stored refs pending

Transportation cost-information and concentration inequalities for bifurcating Markov chains

Arnaud Guillin (IUF), Mikael Escobar-Bach (IMADA), Sim\'eon Val\`ere Bitseki Penda (CMAP)

arxiv:1501.06693 v1 · 2015-01-27 · 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{S4OI2N6NGTU5SSFIKEYFXXH2YP}

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	2026-05-18T02:28:39.329456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

971c8d37cd34e9d948a851305bdcfac3fd49f7d0995ce501bc8816b4b32add73

Aliases

arxiv: 1501.06693 · arxiv_version: 1501.06693v1 · doi: 10.48550/arxiv.1501.06693 · pith_short_12: S4OI2N6NGTU5 · pith_short_16: S4OI2N6NGTU5SSFI · pith_short_8: S4OI2N6N

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/S4OI2N6NGTU5SSFIKEYFXXH2YP \
  | 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: 971c8d37cd34e9d948a851305bdcfac3fd49f7d0995ce501bc8816b4b32add73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9301efe7280ce60b9dd4a53938440c4a522a7514f8c15915a84aea41adbb67fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-27T09:02:58Z",
    "title_canon_sha256": "500036f4319fe1e1da89a272c1886e78fe5b54c969b05318bae96f62d38bff8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06693",
    "kind": "arxiv",
    "version": 1
  }
}