Pith Number

pith:UDSA44ZX

pith:2019:UDSA44ZXROG2C3DEUNAWEVBKFU

not attested not anchored not stored refs pending

Triangle-degrees in graphs and tetrahedron coverings in 3-graphs

Klas Markstr\"om, Victor Falgas--Ravry, Yi Zhao

arxiv:1901.09560 v1 · 2019-01-28 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UDSA44ZXROG2C3DEUNAWEVBKFU}

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	2026-05-17T23:55:24.477098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0e40e73378b8da16c64a34162542a2d35edf082f2aa565adc919a3e9da1526b

Aliases

arxiv: 1901.09560 · arxiv_version: 1901.09560v1 · doi: 10.48550/arxiv.1901.09560 · pith_short_12: UDSA44ZXROG2 · pith_short_16: UDSA44ZXROG2C3DE · pith_short_8: UDSA44ZX

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/UDSA44ZXROG2C3DEUNAWEVBKFU \
  | 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: a0e40e73378b8da16c64a34162542a2d35edf082f2aa565adc919a3e9da1526b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16c507b6615b4d5c02828694e8073f74b972286358e6eab3b082248493cbcea",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-28T09:09:38Z",
    "title_canon_sha256": "c0c1fa39033474403b02a7f8cbff59045ec87bb77a9057eba6e441c394b53763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09560",
    "kind": "arxiv",
    "version": 1
  }
}