Pith Number

pith:XTRLNFJ5

pith:2017:XTRLNFJ5QQNISH3UKRSDBI4JA2

not attested not anchored not stored refs pending

Bobkov's inequality via optimal control theory

Franck Barthe, Paata Ivanisvili

arxiv:1712.04590 v1 · 2017-12-13 · math.AP · math.DG · math.OC · 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{XTRLNFJ5QQNISH3UKRSDBI4JA2}

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	2026-05-18T00:28:04.144974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce2b6953d841a891f74546430a38906b3964b9103a1245813d74c2257b31b9b

Aliases

arxiv: 1712.04590 · arxiv_version: 1712.04590v1 · doi: 10.48550/arxiv.1712.04590 · pith_short_12: XTRLNFJ5QQNI · pith_short_16: XTRLNFJ5QQNISH3U · pith_short_8: XTRLNFJ5

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/XTRLNFJ5QQNISH3UKRSDBI4JA2 \
  | 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: bce2b6953d841a891f74546430a38906b3964b9103a1245813d74c2257b31b9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22095aa8bb03530e24073b5e13d93c23912ed906912c97563799656884437d7d",
    "cross_cats_sorted": [
      "math.DG",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-13T01:54:08Z",
    "title_canon_sha256": "9ed9f5d9812922248adc4d4147150ba486f1ad01463afe6537a7fc949900e11e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04590",
    "kind": "arxiv",
    "version": 1
  }
}