Pith Number

pith:IOUFXID3

pith:2012:IOUFXID34Q7BRJ2NJS5PGXYXX7

not attested not anchored not stored refs pending

Square functions with general measures

Henri Martikainen, Mihalis Mourgoglou

arxiv:1212.3684 v1 · 2012-12-15 · 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{IOUFXID34Q7BRJ2NJS5PGXYXX7}

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	2026-05-18T02:38:17.458755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a85ba07be43e18a74d4cbaf35f17bfd9eae33d4a3d81597150050f548d7e82

Aliases

arxiv: 1212.3684 · arxiv_version: 1212.3684v1 · doi: 10.48550/arxiv.1212.3684 · pith_short_12: IOUFXID34Q7B · pith_short_16: IOUFXID34Q7BRJ2N · pith_short_8: IOUFXID3

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/IOUFXID34Q7BRJ2NJS5PGXYXX7 \
  | 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: 43a85ba07be43e18a74d4cbaf35f17bfd9eae33d4a3d81597150050f548d7e82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b21833dbc81db77eaa45d298f4875cfc4e480518590c34300516708556f0734",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-15T13:57:34Z",
    "title_canon_sha256": "41d26e343ef3a2bb231aeeb70a43e0a76a1885dc9cd4e3f3b4fb75428e6e79fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3684",
    "kind": "arxiv",
    "version": 1
  }
}