Pith Number

pith:VJD34QGG

pith:2019:VJD34QGG5YNJJHATVRJE74KYB6

not attested not anchored not stored refs pending

Zero-sum subsequences in bounded-sum $\{-r,s\}$-sequences

Alec Sun

arxiv:1907.06623 v3 · 2019-07-15 · 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{VJD34QGG5YNJJHATVRJE74KYB6}

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	2026-06-25T00:18:10.173693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa47be40c6ee1a949c13ac524ff1580fa828c6bd361f3fb4684de2701bf0d257

Aliases

arxiv: 1907.06623 · arxiv_version: 1907.06623v3 · doi: 10.48550/arxiv.1907.06623 · pith_short_12: VJD34QGG5YNJ · pith_short_16: VJD34QGG5YNJJHAT · pith_short_8: VJD34QGG

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/VJD34QGG5YNJJHATVRJE74KYB6 \
  | 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: aa47be40c6ee1a949c13ac524ff1580fa828c6bd361f3fb4684de2701bf0d257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dbea233d1513db0b788668b5fced4ce1d789ac0f7068d8dbb364ca3b613c4d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-15T17:46:28Z",
    "title_canon_sha256": "37191fead8d3886b23d2293b8b63d02ad4915a560878c115b438048ae0d0c85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06623",
    "kind": "arxiv",
    "version": 3
  }
}