Pith Number

pith:SIXJWKMN

pith:2013:SIXJWKMNH2TQGL5JQTRVYNPGPI

not attested not anchored not stored refs pending

Weak integral conditions for BMO

Alexander A. Logunov, Dmitriy M. Stolyarov, Leonid Slavin, Pavel B. Zatitskiy, Vasily Vasyunin

arxiv:1309.6780 v2 · 2013-09-26 · 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{SIXJWKMNH2TQGL5JQTRVYNPGPI}

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	2026-05-18T03:02:17.366433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

922e9b298d3ea7032fa984e35c35e67a37f61175bbacab86080ca22b823336ec

Aliases

arxiv: 1309.6780 · arxiv_version: 1309.6780v2 · doi: 10.48550/arxiv.1309.6780 · pith_short_12: SIXJWKMNH2TQ · pith_short_16: SIXJWKMNH2TQGL5J · pith_short_8: SIXJWKMN

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/SIXJWKMNH2TQGL5JQTRVYNPGPI \
  | 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: 922e9b298d3ea7032fa984e35c35e67a37f61175bbacab86080ca22b823336ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5244d49f79e19ea7d680c8e80909e0e6d54fe65d61cb067de89faf8a7484f7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-09-26T10:05:42Z",
    "title_canon_sha256": "a7cf4c248a92b346d46aa4dc63fa644885d165df0bc3a36ba9582989074bfa4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6780",
    "kind": "arxiv",
    "version": 2
  }
}