Pith Number

pith:5M3YOLA2

pith:2017:5M3YOLA2HBZZLUCEVDLHM5D6SP

not attested not anchored not stored refs pending

Vizing-type bounds for graphs with induced subgraph restrictions

Elliot Krop, Gaspar Porta, Pritul Patel

arxiv:1705.04954 v1 · 2017-05-14 · 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{5M3YOLA2HBZZLUCEVDLHM5D6SP}

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	2026-05-18T00:44:34.238064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb37872c1a387395d044a8d676747e93effbc082f48f586f8ea333fe8a13841b

Aliases

arxiv: 1705.04954 · arxiv_version: 1705.04954v1 · doi: 10.48550/arxiv.1705.04954 · pith_short_12: 5M3YOLA2HBZZ · pith_short_16: 5M3YOLA2HBZZLUCE · pith_short_8: 5M3YOLA2

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/5M3YOLA2HBZZLUCEVDLHM5D6SP \
  | 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: eb37872c1a387395d044a8d676747e93effbc082f48f586f8ea333fe8a13841b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba455e33fad0674969177721470fbf6c270a5e844bc205fbb1628638c6d7d15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-14T11:51:46Z",
    "title_canon_sha256": "0ea59d591f117e3dea28e69714ab16f77155418ee0cecf9a31d3ed22cfb48a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04954",
    "kind": "arxiv",
    "version": 1
  }
}