Pith Number

pith:PAXB76MM

pith:2026:PAXB76MM6BEFODSMRDLSNXDOUV

not attested not anchored not stored refs pending

Vector-valued smoothing for finite Sidon sets

Hongbin Zhao, Jianfeng Hou

arxiv:2607.01169 v1 · 2026-07-01 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAXB76MM6BEFODSMRDLSNXDOUV}

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	2026-07-02T01:18:31.035585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782e1ff98cf048570e4c88d726dc6ea54bdb160c49b08a757f57b9d4d17a21cf

Aliases

arxiv: 2607.01169 · arxiv_version: 2607.01169v1 · doi: 10.48550/arxiv.2607.01169 · pith_short_12: PAXB76MM6BEF · pith_short_16: PAXB76MM6BEFODSM · pith_short_8: PAXB76MM

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/PAXB76MM6BEFODSMRDLSNXDOUV \
  | 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: 782e1ff98cf048570e4c88d726dc6ea54bdb160c49b08a757f57b9d4d17a21cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "529484600f18c98c57f16cb9511d77de52b57258f2d6ac7c9947ff4a1096c55c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-01T16:59:14Z",
    "title_canon_sha256": "b394c4290ee14bb3c44431bd3cd403736e091550933dad6cac4239e10c8a67a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01169",
    "kind": "arxiv",
    "version": 1
  }
}