Pith Number

pith:Z2RNZEXN

pith:2015:Z2RNZEXNGM2JSOSELC3NRUUDUX

not attested not anchored not stored refs pending

Tur\'an numbers of hypergraph trees

Tao Jiang, Zolt\'an F\"uredi

arxiv:1505.03210 v1 · 2015-05-13 · 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{Z2RNZEXNGM2JSOSELC3NRUUDUX}

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	2026-05-18T02:12:10.120949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea2dc92ed3334993a4458b6d8d283a5fecf441d828efba0ecaa062b19c3be71

Aliases

arxiv: 1505.03210 · arxiv_version: 1505.03210v1 · doi: 10.48550/arxiv.1505.03210 · pith_short_12: Z2RNZEXNGM2J · pith_short_16: Z2RNZEXNGM2JSOSE · pith_short_8: Z2RNZEXN

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/Z2RNZEXNGM2JSOSELC3NRUUDUX \
  | 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: cea2dc92ed3334993a4458b6d8d283a5fecf441d828efba0ecaa062b19c3be71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a40109d6321a36bd3b0c6ddedd2486980eb5bc58daca0022a1a9d21f910196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-13T01:36:19Z",
    "title_canon_sha256": "5460ef4e8fa802d7167690376c089a2b9def32b98f491c990e2d60845ae2451c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03210",
    "kind": "arxiv",
    "version": 1
  }
}