Pith Number

pith:4MZMRUZ5

pith:2017:4MZMRUZ5I6WKD5LV63XBE2NLJF

not attested not anchored not stored refs pending

Multiple summing mpas : coordinatewise summability, inclusion theorems and p-Sidon sets

Fr\'ed\'eric Bayart (LMBP)

arxiv:1704.04437 v1 · 2017-04-14 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MZMRUZ5I6WKD5LV63XBE2NLJF}

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	2026-05-18T00:46:21.694978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e332c8d33d47aca1f575f6ee1269ab4942821c44bafbde2cc68ecb5ad420f0ac

Aliases

arxiv: 1704.04437 · arxiv_version: 1704.04437v1 · doi: 10.48550/arxiv.1704.04437 · pith_short_12: 4MZMRUZ5I6WK · pith_short_16: 4MZMRUZ5I6WKD5LV · pith_short_8: 4MZMRUZ5

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/4MZMRUZ5I6WKD5LV63XBE2NLJF \
  | 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: e332c8d33d47aca1f575f6ee1269ab4942821c44bafbde2cc68ecb5ad420f0ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efc396df1fcc6461a6833d673ce2e047c21f82079f4d4bdf7ec69c775a94b1b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-14T14:39:03Z",
    "title_canon_sha256": "a53e76420b13999838349a71f83e67b175dffff5d27471eeb050e600ea3b449d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04437",
    "kind": "arxiv",
    "version": 1
  }
}