Pith Number

pith:O7KATSH5

pith:2017:O7KATSH5LFA2DP4FXLWRHOSG7N

not attested not anchored not stored refs pending

The Turan number of 2P_7

Yongtang Shi, Yongxin Lan, Zhongmei Qin

arxiv:1711.07734 v1 · 2017-11-21 · 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{O7KATSH5LFA2DP4FXLWRHOSG7N}

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	2026-05-18T00:29:56.615331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d409c8fd5941a1bf85baed13ba46fb7ee508ba1f466264b0750944cc30f83d

Aliases

arxiv: 1711.07734 · arxiv_version: 1711.07734v1 · doi: 10.48550/arxiv.1711.07734 · pith_short_12: O7KATSH5LFA2 · pith_short_16: O7KATSH5LFA2DP4F · pith_short_8: O7KATSH5

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/O7KATSH5LFA2DP4FXLWRHOSG7N \
  | 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: 77d409c8fd5941a1bf85baed13ba46fb7ee508ba1f466264b0750944cc30f83d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c651eb922d0e8fc32409bca21cd650abdd38861c3d6f7b5a117071943d0015b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-21T11:53:47Z",
    "title_canon_sha256": "d26df91e7c00009e962121f2e2961f4514ecc87f3b954027b07d40b458c933eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07734",
    "kind": "arxiv",
    "version": 1
  }
}