Pith. sign in
Pith Number

pith:7ZRHRCJR

pith:2020:7ZRHRCJRVSO7RHCO7NEWDBPNST
not attested not anchored not stored refs pending

Graphs and matrices: A translation of "Graphok \'{e}s matrixok" by D\'{e}nes K\H{o}nig (1931)

G\'abor Sz\'arnyas

arxiv:2009.03780 v1 · 2020-09-05 · math.HO · cs.DM · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7ZRHRCJRVSO7RHCO7NEWDBPNST}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T01:34:58.728348Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fe62788931ac9df89c4efb496185ed94ff473510bc332da74a5bed5cec23fe54

Aliases

arxiv: 2009.03780 · arxiv_version: 2009.03780v1 · doi: 10.48550/arxiv.2009.03780 · pith_short_12: 7ZRHRCJRVSO7 · pith_short_16: 7ZRHRCJRVSO7RHCO · pith_short_8: 7ZRHRCJR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7ZRHRCJRVSO7RHCO7NEWDBPNST \
  | 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: fe62788931ac9df89c4efb496185ed94ff473510bc332da74a5bed5cec23fe54
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "40abf934126fd720985b4d65ea460770df66df3f75c3153a4d533f86779b8790",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2020-09-05T17:16:05Z",
    "title_canon_sha256": "40f18c364d6b37699e3124f0937229a35a0cda77138db52ec6ab40c4eff25584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03780",
    "kind": "arxiv",
    "version": 1
  }
}