Pith Number

pith:L3KRCDWO

pith:2010:L3KRCDWOOC6MUWIPEB5IIOIVI7

not attested not anchored not stored refs pending

An Asymptotic Formula For Counting Subset Sums Over Subgroups Of Finite Fields

Daqing Wan, Guizhen Zhu

arxiv:1101.0289 v1 · 2010-12-31 · 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{L3KRCDWOOC6MUWIPEB5IIOIVI7}

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	2026-05-18T04:32:10.632957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ed5110ece70bcca590f207a84391547e34667ff2c0d2bf6c2b7887459c202a2

Aliases

arxiv: 1101.0289 · arxiv_version: 1101.0289v1 · doi: 10.48550/arxiv.1101.0289 · pith_short_12: L3KRCDWOOC6M · pith_short_16: L3KRCDWOOC6MUWIP · pith_short_8: L3KRCDWO

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/L3KRCDWOOC6MUWIPEB5IIOIVI7 \
  | 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: 5ed5110ece70bcca590f207a84391547e34667ff2c0d2bf6c2b7887459c202a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "710e2bf9c89ad534d2d2484c74daaac4e39f42928dbf6e4445c34121f32d5be5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-31T19:01:01Z",
    "title_canon_sha256": "b5d1368caefcc9268d97982efbc53a587c1262786020a46d7887aaf5946bf634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0289",
    "kind": "arxiv",
    "version": 1
  }
}