Pith Number

pith:L6F4SEZU

pith:2017:L6F4SEZUR3NYZTTC7VTN5ZFQ2R

not attested not anchored not stored refs pending

Pointwise multiple averages for sublinear functions

Andreas Koutsogiannis, Sebasti\'an Donoso, Wenbo Sun

arxiv:1711.01513 v1 · 2017-11-05 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6F4SEZUR3NYZTTC7VTN5ZFQ2R}

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	2026-05-18T00:31:17.608046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f8bc913348edb8cce62fd66dee4b0d45bb5e05029be978d3c91c8613824a071

Aliases

arxiv: 1711.01513 · arxiv_version: 1711.01513v1 · doi: 10.48550/arxiv.1711.01513 · pith_short_12: L6F4SEZUR3NY · pith_short_16: L6F4SEZUR3NYZTTC · pith_short_8: L6F4SEZU

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/L6F4SEZUR3NYZTTC7VTN5ZFQ2R \
  | 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: 5f8bc913348edb8cce62fd66dee4b0d45bb5e05029be978d3c91c8613824a071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f74bd5557e50c773b215362da05e8dcef6b15a9ff00e04c35420cf3af8817c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-05T01:20:46Z",
    "title_canon_sha256": "0d2ccc9bd81f366d1740367d50096dd67b24c5e1240b9c0fc49a92821794b79b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01513",
    "kind": "arxiv",
    "version": 1
  }
}