Pith Number

pith:DX5YOWOO

pith:2008:DX5YOWOOTHPEDO3BLREZDRU2PH

not attested not anchored not stored refs pending

On Bialostocki's conjecture for zero-sum sequences

Song Guo, Zhi-Wei Sun

arxiv:0812.1724 v3 · 2008-12-09 · math.CO · 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{DX5YOWOOTHPEDO3BLREZDRU2PH}

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	2026-05-18T02:15:11.238201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dfb8759ce99de41bb615c4991c69a79ea06b602a8715fb25917d28fccd90aa8

Aliases

arxiv: 0812.1724 · arxiv_version: 0812.1724v3 · doi: 10.48550/arxiv.0812.1724 · pith_short_12: DX5YOWOOTHPE · pith_short_16: DX5YOWOOTHPEDO3B · pith_short_8: DX5YOWOO

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/DX5YOWOOTHPEDO3BLREZDRU2PH \
  | 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: 1dfb8759ce99de41bb615c4991c69a79ea06b602a8715fb25917d28fccd90aa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949b9a0dfeadca05f30ca4b7d6f8fc1816c71db36bd8fa703eaec2fd1e6d6820",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-12-09T16:39:49Z",
    "title_canon_sha256": "cbba0471dbb1d019e1ed1f76c6dcd4f31c7e55c93dad28af1027735328552e29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1724",
    "kind": "arxiv",
    "version": 3
  }
}