Pith Number

pith:BNROGS3J

pith:2018:BNROGS3J4JYZLQ7Z2DODP5QFEC

not attested not anchored not stored refs pending

Upper and Lower Bounds on Zero-Sum Generalized Schur Numbers

Erik Metz

arxiv:1808.03851 v1 · 2018-08-11 · 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{BNROGS3J4JYZLQ7Z2DODP5QFEC}

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	2026-05-18T00:08:19.526896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b62e34b69e27195c3f9d0dc37f605208873e3539ea214702362606435694df9

Aliases

arxiv: 1808.03851 · arxiv_version: 1808.03851v1 · doi: 10.48550/arxiv.1808.03851 · pith_short_12: BNROGS3J4JYZ · pith_short_16: BNROGS3J4JYZLQ7Z · pith_short_8: BNROGS3J

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/BNROGS3J4JYZLQ7Z2DODP5QFEC \
  | 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: 0b62e34b69e27195c3f9d0dc37f605208873e3539ea214702362606435694df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b09d0d8491c401d91d8b496d97fd65becdeabbad6d7e6fbcf547dab39146dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-11T19:12:08Z",
    "title_canon_sha256": "e84025f7207e0254088f912fad6346a361d6d9ea0b58e00539a6bdca1d614a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03851",
    "kind": "arxiv",
    "version": 1
  }
}