Pith Number

pith:EU4BKK6T

pith:2016:EU4BKK6TMT2PRHZ472UDYOWF7T

not attested not anchored not stored refs pending

On weak weighted estimates of martingale transform

Alexander Reznikov, Alexander Volberg, Fedor Nazarov, Vasily Vasyunin

arxiv:1612.03958 v1 · 2016-12-12 · math.AP · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EU4BKK6TMT2PRHZ472UDYOWF7T}

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	2026-05-18T00:13:32.900707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2538152bd364f4f89f3cfea83c3ac5fce827dd4c2d524b7270b5ebbf287bb16f

Aliases

arxiv: 1612.03958 · arxiv_version: 1612.03958v1 · doi: 10.48550/arxiv.1612.03958 · pith_short_12: EU4BKK6TMT2P · pith_short_16: EU4BKK6TMT2PRHZ4 · pith_short_8: EU4BKK6T

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/EU4BKK6TMT2PRHZ472UDYOWF7T \
  | 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: 2538152bd364f4f89f3cfea83c3ac5fce827dd4c2d524b7270b5ebbf287bb16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55d6aed285f43ae6da316576b2c2329e3fce0c8773d63edff4d42f688114d28",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-12T22:42:20Z",
    "title_canon_sha256": "d461fde3e1726a67c6effd5fc87069123d232914864a993c2311e4bc7032384c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03958",
    "kind": "arxiv",
    "version": 1
  }
}