Pith Number

pith:LL5PXA23

pith:2016:LL5PXA235K7DHYEN2I4HEU4E4P

not attested not anchored not stored refs pending

Turan numbers of complete 3-uniform Berge-hypergraphs

L. Maherani, M. Shahsiah

arxiv:1612.08856 v1 · 2016-12-28 · 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{LL5PXA235K7DHYEN2I4HEU4E4P}

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	2026-05-18T00:53:47.001105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5afafb835beabe33e08dd238725384e3f9d74a4248c6e9dcb04a891857eab771

Aliases

arxiv: 1612.08856 · arxiv_version: 1612.08856v1 · doi: 10.48550/arxiv.1612.08856 · pith_short_12: LL5PXA235K7D · pith_short_16: LL5PXA235K7DHYEN · pith_short_8: LL5PXA23

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/LL5PXA235K7DHYEN2I4HEU4E4P \
  | 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: 5afafb835beabe33e08dd238725384e3f9d74a4248c6e9dcb04a891857eab771

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55979f2ae35535acde082bea06e64f65426cf7095ee7818c38596bddd8bbee6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-28T11:32:32Z",
    "title_canon_sha256": "70b3bdec9a7e301dd8f1605e72b06d516d6e26321eab0417def6f666df134798"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08856",
    "kind": "arxiv",
    "version": 1
  }
}