Pith Number

pith:SA3BCOUO

pith:2019:SA3BCOUOZHOIXPLSPR3UMD3YL6

not attested not anchored not stored refs pending

Turan numbers of bipartite subdivisions

Tao Jiang, Yu Qiu

arxiv:1905.08994 v2 · 2019-05-22 · 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{SA3BCOUOZHOIXPLSPR3UMD3YL6}

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	2026-05-17T23:44:37.472039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9036113a8ec9dc8bbd727c77460f785f801f7d7b2fa78864cc968a462aed1315

Aliases

arxiv: 1905.08994 · arxiv_version: 1905.08994v2 · doi: 10.48550/arxiv.1905.08994 · pith_short_12: SA3BCOUOZHOI · pith_short_16: SA3BCOUOZHOIXPLS · pith_short_8: SA3BCOUO

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/SA3BCOUOZHOIXPLSPR3UMD3YL6 \
  | 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: 9036113a8ec9dc8bbd727c77460f785f801f7d7b2fa78864cc968a462aed1315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e766a620e590b980049da299c5d76d892071b227eb0203d5bccc6f9e200a922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-22T07:32:40Z",
    "title_canon_sha256": "f9f5e152abb357617471aae2bb768310b7fb0714e775c95f07a597c3feed0e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08994",
    "kind": "arxiv",
    "version": 2
  }
}