Pith Number

pith:VHOBHSSH

pith:2011:VHOBHSSH7POGYDVPCU7AC32U2U

not attested not anchored not stored refs pending

Sharp estimates involving $A_\infty$ and $LlogL$ constants, and their applications to PDE

Alexander Reznikov, Oleksandra Beznosova

arxiv:1107.1885 v1 · 2011-07-10 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHOBHSSH7POGYDVPCU7AC32U2U}

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	2026-05-18T04:18:33.951612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9dc13ca47fbdc6c0eaf153e016f54d50ee35624e6bec4784cbf659bcd33dd2e

Aliases

arxiv: 1107.1885 · arxiv_version: 1107.1885v1 · doi: 10.48550/arxiv.1107.1885 · pith_short_12: VHOBHSSH7POG · pith_short_16: VHOBHSSH7POGYDVP · pith_short_8: VHOBHSSH

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/VHOBHSSH7POGYDVPCU7AC32U2U \
  | 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: a9dc13ca47fbdc6c0eaf153e016f54d50ee35624e6bec4784cbf659bcd33dd2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bfc4bceec74a97e52bf725603aca4bfcce70fc60ed364f3f2f97ac845999e4e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-07-10T19:24:18Z",
    "title_canon_sha256": "c1282a5b245d9acbd3354acafc0befc8d26b0315240a1d4bb8e1278f88e5e3c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1885",
    "kind": "arxiv",
    "version": 1
  }
}