Pith Number

pith:GHYYUWRV

pith:2017:GHYYUWRVM7NNLG3NSH5HHAZSZA

not attested not anchored not stored refs pending

Extremal Threshold Graphs for Matchings and Independent Sets

A.J. Radcliffe, L. Keough

arxiv:1710.00083 v1 · 2017-09-29 · 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{GHYYUWRVM7NNLG3NSH5HHAZSZA}

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	2026-05-18T00:33:57.968289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f18a5a3567dad59b6d91fa738332c80d29984627fa2c5efeff9ba94dc52083

Aliases

arxiv: 1710.00083 · arxiv_version: 1710.00083v1 · doi: 10.48550/arxiv.1710.00083 · pith_short_12: GHYYUWRVM7NN · pith_short_16: GHYYUWRVM7NNLG3N · pith_short_8: GHYYUWRV

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/GHYYUWRVM7NNLG3NSH5HHAZSZA \
  | 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: 31f18a5a3567dad59b6d91fa738332c80d29984627fa2c5efeff9ba94dc52083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f751aefd605eceb225f4f5a0ed9ace9671a9c44a49a283f62f1f404bc489dad4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-29T20:34:02Z",
    "title_canon_sha256": "a443183004bc405777dfcf6aaf19f4e5b21627b16521f290d82e91428b811509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00083",
    "kind": "arxiv",
    "version": 1
  }
}