Pith Number

pith:QXZAP75M

pith:2026:QXZAP75MFAPPQFHIWGOZ4Z5YDE

not attested not anchored not stored refs pending

Bohr sets in sumsets III: expanding difference sets and almost Bohr sets

Anh N. Le, John T. Griesmer, Pierre-Yves Bienvenu, Th\'ai Ho\`ang L\^e

arxiv:2603.11376 v2 · 2026-03-11 · math.DS · 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{QXZAP75MFAPPQFHIWGOZ4Z5YDE}

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	2026-05-27T00:04:24.554507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f207ffac281ef814e8b19d9e67b8190af9f220d2b4707c2f47c4f14828afcf

Aliases

arxiv: 2603.11376 · arxiv_version: 2603.11376v2 · doi: 10.48550/arxiv.2603.11376 · pith_short_12: QXZAP75MFAPP · pith_short_16: QXZAP75MFAPPQFHI · pith_short_8: QXZAP75M

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/QXZAP75MFAPPQFHIWGOZ4Z5YDE \
  | 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: 85f207ffac281ef814e8b19d9e67b8190af9f220d2b4707c2f47c4f14828afcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07e3ed85142f9510616fbc8e062ee1d18f283255574f0d14fb6d96364434c101",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-03-11T23:31:16Z",
    "title_canon_sha256": "f8d4e9be9e51bb9b1ce3038f8f933dc90427a1af857588b086544bdf4b44cd9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.11376",
    "kind": "arxiv",
    "version": 2
  }
}