Pith Number

pith:QHN4TZFZ

pith:2011:QHN4TZFZHBE2HAWAN6ZIX2YH4L

not attested not anchored not stored refs pending

Small asymmetric sumsets in elementary abelian 2-groups

Chaim Even-Zohar, Vsevolod F. Lev

arxiv:1109.4670 v2 · 2011-09-21 · 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{QHN4TZFZHBE2HAWAN6ZIX2YH4L}

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	2026-05-18T00:14:07.179124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81dbc9e4b93849a382c06fb28beb07e2dca5d377fa951adf126ab2efe4ede1fa

Aliases

arxiv: 1109.4670 · arxiv_version: 1109.4670v2 · doi: 10.48550/arxiv.1109.4670 · pith_short_12: QHN4TZFZHBE2 · pith_short_16: QHN4TZFZHBE2HAWA · pith_short_8: QHN4TZFZ

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/QHN4TZFZHBE2HAWAN6ZIX2YH4L \
  | 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: 81dbc9e4b93849a382c06fb28beb07e2dca5d377fa951adf126ab2efe4ede1fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611c95d73e03611f69956e8b4c7a466569edc6b8b6d316321f5fa6b4654a6db9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-21T23:18:57Z",
    "title_canon_sha256": "d35b7ee5fe967c11afdcaeca1dc18c85be00d34e1685e02c9bd2551ccfa65efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4670",
    "kind": "arxiv",
    "version": 2
  }
}