Pith Number

pith:2S74ZV3L

pith:2016:2S74ZV3LVWXNNVF4SPS5FJAWQM

not attested not anchored not stored refs pending

Minimizing the number of independent sets in triangle-free regular graphs

A. J. Radcliffe, Jonathan Cutler

arxiv:1610.05714 v1 · 2016-10-18 · 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{2S74ZV3LVWXNNVF4SPS5FJAWQM}

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	2026-05-18T01:01:58.553585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4bfccd76badaed6d4bc93e5d2a41683348592925e37408b1f0763974f38f63b

Aliases

arxiv: 1610.05714 · arxiv_version: 1610.05714v1 · doi: 10.48550/arxiv.1610.05714 · pith_short_12: 2S74ZV3LVWXN · pith_short_16: 2S74ZV3LVWXNNVF4 · pith_short_8: 2S74ZV3L

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/2S74ZV3LVWXNNVF4SPS5FJAWQM \
  | 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: d4bfccd76badaed6d4bc93e5d2a41683348592925e37408b1f0763974f38f63b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5559fa8b925740897394878663b546544b17b16bfd660694cc6d44a681888d31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-18T17:30:55Z",
    "title_canon_sha256": "ac274cb4fac2d382456625b8664a6054124e536ae4b9ec487c3e15fea3fac1b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05714",
    "kind": "arxiv",
    "version": 1
  }
}