Pith Number

pith:U44UG6IU

pith:2026:U44UG6IUX2SJO3A54CA25AXIZG

not attested not anchored not stored refs pending

On the size of $h$-fold sumsets

Quan-Hui Yang, Shi-Qiang Chen

arxiv:2607.29535 v1 · 2026-07-31 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U44UG6IUX2SJO3A54CA25AXIZG}

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	2026-08-03T01:37:41.857075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a739437914bea4976c1de081ae82e8c9bb6db343e4271ad679622dbc4d8fd785

Aliases

arxiv: 2607.29535 · arxiv_version: 2607.29535v1 · doi: 10.48550/arxiv.2607.29535 · pith_short_12: U44UG6IUX2SJ · pith_short_16: U44UG6IUX2SJO3A5 · pith_short_8: U44UG6IU

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/U44UG6IUX2SJO3A54CA25AXIZG \
  | 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: a739437914bea4976c1de081ae82e8c9bb6db343e4271ad679622dbc4d8fd785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e5db1ee1ffcb8a6c3689ba9fdb5c53ed79f893dda37cadf7f89128c598714fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-31T15:32:37Z",
    "title_canon_sha256": "33fa55b8da8c6f037a16f5dda60a3aeca97d47118ac1afaa7e5589ea68e1f24e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29535",
    "kind": "arxiv",
    "version": 1
  }
}