Pith Number

pith:WWP7CYZW

pith:2019:WWP7CYZWK3JGQWUI2KOBH7F47W

not attested not anchored not stored refs pending

The Tur\'an number of blow-ups of trees

Andrzej Grzesik, Oliver Janzer, Zolt\'an L\'or\'ant Nagy

arxiv:1904.07219 v1 · 2019-04-15 · 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{WWP7CYZWK3JGQWUI2KOBH7F47W}

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	2026-05-17T23:48:34.883901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b59ff1633656d2685a88d29c13fcbcfd85fc28a36bcef330fa7b540bd1c769e5

Aliases

arxiv: 1904.07219 · arxiv_version: 1904.07219v1 · doi: 10.48550/arxiv.1904.07219 · pith_short_12: WWP7CYZWK3JG · pith_short_16: WWP7CYZWK3JGQWUI · pith_short_8: WWP7CYZW

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/WWP7CYZWK3JGQWUI2KOBH7F47W \
  | 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: b59ff1633656d2685a88d29c13fcbcfd85fc28a36bcef330fa7b540bd1c769e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "790bbfba091cd8d2af66aca0d20ab809a8f1e14c2ae3722a0ab67a9343512450",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-15T17:54:30Z",
    "title_canon_sha256": "0265a991cff83e794be2890060ffe5318634290f7c53de493a83f81e78d52173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07219",
    "kind": "arxiv",
    "version": 1
  }
}