Pith Number

pith:JRM7P4XF

pith:2017:JRM7P4XF66D3QEX256Y6WCUY5F

not attested not anchored not stored refs pending

Large induced subgraphs with $k$ vertices of almost maximum degree

Ant\'onio Gir\~ao, Kamil Popielarz

arxiv:1705.08998 v1 · 2017-05-24 · 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{JRM7P4XF66D3QEX256Y6WCUY5F}

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	2026-05-18T00:43:40.699915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c59f7f2e5f787b812faefb1eb0a98e979f0ad493deba1b4e3711c039bd99032

Aliases

arxiv: 1705.08998 · arxiv_version: 1705.08998v1 · doi: 10.48550/arxiv.1705.08998 · pith_short_12: JRM7P4XF66D3 · pith_short_16: JRM7P4XF66D3QEX2 · pith_short_8: JRM7P4XF

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/JRM7P4XF66D3QEX256Y6WCUY5F \
  | 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: 4c59f7f2e5f787b812faefb1eb0a98e979f0ad493deba1b4e3711c039bd99032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b4c10ee263a81d730ad4383214a508155c13670c50124aaa8fd71ed03a775a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-24T23:30:28Z",
    "title_canon_sha256": "0435bb3e91277befeaaca90be05f59e7b60ba9d467db3cf8d85395a7f688ec0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08998",
    "kind": "arxiv",
    "version": 1
  }
}