Pith Number

pith:VKBDLRV5

pith:2012:VKBDLRV5OYC3UXZDZ42F6O2XJA

not attested not anchored not stored refs pending

Bellman function for extremal problems in BMO

Dmitriy Stolyarov, Nikolay Osipov, Paata Ivanisvili, Pavel Zatitskiy, Vasily Vasyunin

arxiv:1205.7018 v3 · 2012-05-31 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKBDLRV5OYC3UXZDZ42F6O2XJA}

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	2026-05-18T01:17:38.183294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8235c6bd7605ba5f23cf345f3b574804a3e528783af028b54a68c57a896904

Aliases

arxiv: 1205.7018 · arxiv_version: 1205.7018v3 · doi: 10.48550/arxiv.1205.7018 · pith_short_12: VKBDLRV5OYC3 · pith_short_16: VKBDLRV5OYC3UXZD · pith_short_8: VKBDLRV5

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/VKBDLRV5OYC3UXZDZ42F6O2XJA \
  | 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: aa8235c6bd7605ba5f23cf345f3b574804a3e528783af028b54a68c57a896904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0be968f29d863a694a1a0b656257eec91e1c1d655098a6b46d45f38e8aef375",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-31T15:22:12Z",
    "title_canon_sha256": "ea7e8b1ab60792fd7f84f9cfc85b611e85dddef906a78a526c163d88fd79fe61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7018",
    "kind": "arxiv",
    "version": 3
  }
}