Pith Number

pith:IWQRXRGO

pith:2010:IWQRXRGO7RXTQKC3XUACNIYJXC

not attested not anchored not stored refs pending

On weighted zero-sum sequences

David J. Grynkiewicz, Sukumar Das Adhikari, Zhi-Wei Sun

arxiv:1003.2186 v2 · 2010-03-10 · math.CO · math.GR · 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{IWQRXRGO7RXTQKC3XUACNIYJXC}

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	2026-05-18T04:07:17.974226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45a11bc4cefc6f38285bbd0026a309b898b5c57fd17c489a565c76168e4bfdfc

Aliases

arxiv: 1003.2186 · arxiv_version: 1003.2186v2 · doi: 10.48550/arxiv.1003.2186 · pith_short_12: IWQRXRGO7RXT · pith_short_16: IWQRXRGO7RXTQKC3 · pith_short_8: IWQRXRGO

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/IWQRXRGO7RXTQKC3XUACNIYJXC \
  | 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: 45a11bc4cefc6f38285bbd0026a309b898b5c57fd17c489a565c76168e4bfdfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf720a7f2bf06ce6f011463722eb3cca287f51e1621f13c0147002a42db6c6c",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-10T20:02:14Z",
    "title_canon_sha256": "81d2aade264e8666dae8483b189e4f5a80bf493a97f4943167f0ef8919563497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.2186",
    "kind": "arxiv",
    "version": 2
  }
}