Pith Number

pith:3GDS4STP

pith:2015:3GDS4STP5FSM5CUJKWRLQKFCLA

not attested not anchored not stored refs pending

Independence in Uniform Linear Triangle-free Hypergraphs

Christian L\"owenstein, Dieter Rautenbach, Michael Gentner, Piotr Borowiecki

arxiv:1507.04323 v1 · 2015-07-15 · 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{3GDS4STP5FSM5CUJKWRLQKFCLA}

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	2026-05-18T01:36:48.659258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9872e4a6fe964ce8a8955a2b828a258191cee8e963d49a17a16c25b7457aae5

Aliases

arxiv: 1507.04323 · arxiv_version: 1507.04323v1 · doi: 10.48550/arxiv.1507.04323 · pith_short_12: 3GDS4STP5FSM · pith_short_16: 3GDS4STP5FSM5CUJ · pith_short_8: 3GDS4STP

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/3GDS4STP5FSM5CUJKWRLQKFCLA \
  | 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: d9872e4a6fe964ce8a8955a2b828a258191cee8e963d49a17a16c25b7457aae5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3658398f4986865bd2dc6fec0044b9f71e60ddfa90c0d714bc768c0b2142604a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-15T18:51:06Z",
    "title_canon_sha256": "58ada3180c6a44b53e0cd7973108b7c44e9c9b5ddf2adbafbd8e42981fb602c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04323",
    "kind": "arxiv",
    "version": 1
  }
}