Pith Number

pith:GQOGR3HQ

pith:2019:GQOGR3HQUARG2YJHMQZZRAOELT

not attested not anchored not stored refs pending

Many Turan exponents via subdivisions

Tao Jiang, Yu Qiu

arxiv:1908.02385 v1 · 2019-08-06 · 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{GQOGR3HQUARG2YJHMQZZRAOELT}

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	2026-07-04T23:52:08.257554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

341c68ecf0a0226d612764339881c45cc013725c7d33005b7a25a6850f28707f

Aliases

arxiv: 1908.02385 · arxiv_version: 1908.02385v1 · doi: 10.48550/arxiv.1908.02385 · pith_short_12: GQOGR3HQUARG · pith_short_16: GQOGR3HQUARG2YJH · pith_short_8: GQOGR3HQ

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/GQOGR3HQUARG2YJHMQZZRAOELT \
  | 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: 341c68ecf0a0226d612764339881c45cc013725c7d33005b7a25a6850f28707f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5695d5b224142b329b453d5277357cc95d70a7b92ed60c728f8b4faa73c25dd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-06T22:28:08Z",
    "title_canon_sha256": "2077d65ba8a5995a3f137027de9d1915a7e8dcdeb404b286473ef673f733859e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02385",
    "kind": "arxiv",
    "version": 1
  }
}