Pith Number

pith:VGDFT5WV

pith:2013:VGDFT5WVWVUKEPTKJRPZQ5ISBK

not attested not anchored not stored refs pending

Square functions with general measures II

Henri Martikainen, Mihalis Mourgoglou, Tuomas Orponen

arxiv:1305.6865 v1 · 2013-05-29 · 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{VGDFT5WVWVUKEPTKJRPZQ5ISBK}

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	2026-05-18T02:38:17.211430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a98659f6d5b568a23e6a4c5f9875120a83588e1245461b2377eac540a1cd26e0

Aliases

arxiv: 1305.6865 · arxiv_version: 1305.6865v1 · doi: 10.48550/arxiv.1305.6865 · pith_short_12: VGDFT5WVWVUK · pith_short_16: VGDFT5WVWVUKEPTK · pith_short_8: VGDFT5WV

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/VGDFT5WVWVUKEPTKJRPZQ5ISBK \
  | 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: a98659f6d5b568a23e6a4c5f9875120a83588e1245461b2377eac540a1cd26e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ba3768d6f35b6797819c07d0c3c522eddb03f6a492055013b74fd301dbad96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-29T16:52:59Z",
    "title_canon_sha256": "8aeca8f1689921de2517da420c01315c1a8fdb109cf6d0274b4e9bb469bc658c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6865",
    "kind": "arxiv",
    "version": 1
  }
}