Pith Number

pith:NO4MGEXQ

pith:2014:NO4MGEXQRMZEUEZOHYF6IPFZCR

not attested not anchored not stored refs pending

On the algebraic and topological structure of the set of Tur\'an densities

Codrut Grosu

arxiv:1403.4653 v3 · 2014-03-19 · 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{NO4MGEXQRMZEUEZOHYF6IPFZCR}

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	2026-05-18T01:11:38.905165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb8c312f08b324a132e3e0be43cb91471109ea48b404a6fc82934883d491f1a

Aliases

arxiv: 1403.4653 · arxiv_version: 1403.4653v3 · doi: 10.48550/arxiv.1403.4653 · pith_short_12: NO4MGEXQRMZE · pith_short_16: NO4MGEXQRMZEUEZO · pith_short_8: NO4MGEXQ

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/NO4MGEXQRMZEUEZOHYF6IPFZCR \
  | 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: 6bb8c312f08b324a132e3e0be43cb91471109ea48b404a6fc82934883d491f1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "021a1cfe8ce82fed7b153fd85bd3663d8d84d047e0bc691a1f88628917e9ca92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-19T00:25:54Z",
    "title_canon_sha256": "86a97cbf060251c878939d8e5e1472b79481cabed3f0fc9df4524a269d555b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4653",
    "kind": "arxiv",
    "version": 3
  }
}