Pith Number

pith:DB4QGR32

pith:2013:DB4QGR32CJNLXQM3ODY3FJIANP

not attested not anchored not stored refs pending

On triangles in K_r-minor free graphs

Boris Albar, Daniel Gon\c{c}alves

arxiv:1304.5468 v1 · 2013-04-19 · 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{DB4QGR32CJNLXQM3ODY3FJIANP}

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	2026-05-18T03:27:33.413757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

187903477a125abbc19b70f1b2a5006bc4c503f96582a497e9673be14562ee79

Aliases

arxiv: 1304.5468 · arxiv_version: 1304.5468v1 · doi: 10.48550/arxiv.1304.5468 · pith_short_12: DB4QGR32CJNL · pith_short_16: DB4QGR32CJNLXQM3 · pith_short_8: DB4QGR32

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/DB4QGR32CJNLXQM3ODY3FJIANP \
  | 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: 187903477a125abbc19b70f1b2a5006bc4c503f96582a497e9673be14562ee79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "143b50ba8b1e208abdb83cf912d026c2101b08d0e6cdfcf3807fba7ce07e96cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-19T16:29:40Z",
    "title_canon_sha256": "8c01495c1ebaec0f62b5854fa24f4d7a2edb317a059be19cc229a7d761b1b89d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5468",
    "kind": "arxiv",
    "version": 1
  }
}