Pith Number

pith:IZS7JCIK

pith:2015:IZS7JCIKOVECAKICRLKBLGAQMG

not attested not anchored not stored refs pending

Tur\'an Number of Generalized Triangles

Liana Yepremyan, Sergey Norin

arxiv:1501.01913 v2 · 2015-01-08 · 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{IZS7JCIKOVECAKICRLKBLGAQMG}

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	2026-05-18T01:34:57.289018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4665f4890a75482029028ad415981061915818237ea1f4d99dba0bc695b68cc5

Aliases

arxiv: 1501.01913 · arxiv_version: 1501.01913v2 · doi: 10.48550/arxiv.1501.01913 · pith_short_12: IZS7JCIKOVEC · pith_short_16: IZS7JCIKOVECAKIC · pith_short_8: IZS7JCIK

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/IZS7JCIKOVECAKICRLKBLGAQMG \
  | 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: 4665f4890a75482029028ad415981061915818237ea1f4d99dba0bc695b68cc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff2d28794430689ed15d09e20095323efbd81ca7e8448d6f546b7e03f300627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-08T17:47:46Z",
    "title_canon_sha256": "b0bbcb61d79a08e50d3240afef97d2bb7ad6e74c0a60b141ae77b4475e30b166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01913",
    "kind": "arxiv",
    "version": 2
  }
}