Pith Number

pith:YZQA4RM5

pith:2017:YZQA4RM5MFQXMTBS62A7P4Y7J4

not attested not anchored not stored refs pending

On square functions with independent increments and Sobolev spaces on the line

Andreas Seeger, Artur Nicolau, Joan Verdera, Juli\`a Cuf\'i

arxiv:1702.05975 v2 · 2017-02-20 · 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{YZQA4RM5MFQXMTBS62A7P4Y7J4}

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	2026-05-17T23:43:54.281416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6600e459d6161764c32f681f7f31f4f108c0b5588920a256127a8d5dfd738f1

Aliases

arxiv: 1702.05975 · arxiv_version: 1702.05975v2 · doi: 10.48550/arxiv.1702.05975 · pith_short_12: YZQA4RM5MFQX · pith_short_16: YZQA4RM5MFQXMTBS · pith_short_8: YZQA4RM5

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/YZQA4RM5MFQXMTBS62A7P4Y7J4 \
  | 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: c6600e459d6161764c32f681f7f31f4f108c0b5588920a256127a8d5dfd738f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01c1f08230a85d749215b07dcc0c0662a3b1f66b465735a1e6989c2d549aa261",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-20T14:09:37Z",
    "title_canon_sha256": "b34f40d10995284344f3511402ab6ac007befc0a92332270df1de5a7cca30850"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05975",
    "kind": "arxiv",
    "version": 2
  }
}