Pith Number

pith:54LZXTJT

pith:2011:54LZXTJT2M4IACIBUG3WD3OBLW

not attested not anchored not stored refs pending

A sharp estimate of weighted dyadic shifts of complexity 0 and 1

Alexander Reznikov, Alexander Volberg, Sergei Treil

arxiv:1104.5347 v1 · 2011-04-28 · 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{54LZXTJT2M4IACIBUG3WD3OBLW}

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	2026-05-18T04:23:21.649308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef179bcd33d338800901a1b761edc15db657dca9a773173d7a802fd863937adc

Aliases

arxiv: 1104.5347 · arxiv_version: 1104.5347v1 · doi: 10.48550/arxiv.1104.5347 · pith_short_12: 54LZXTJT2M4I · pith_short_16: 54LZXTJT2M4IACIB · pith_short_8: 54LZXTJT

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/54LZXTJT2M4IACIBUG3WD3OBLW \
  | 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: ef179bcd33d338800901a1b761edc15db657dca9a773173d7a802fd863937adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ff82144fc6a970dd115603801ca942318aad74d043b744f75b68d289733951",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-04-28T10:32:03Z",
    "title_canon_sha256": "2e1cb212bc124ed9001751aa381dc35f29b1f97c96b8c5078774773b231a2a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5347",
    "kind": "arxiv",
    "version": 1
  }
}