Pith Number

pith:HW6J5NGA

pith:2024:HW6J5NGATBVP5UZVUYXCX7Z2EW

not attested not anchored not stored refs pending

Maximum induced trees and forests of bounded degree in random graphs

Maksim Zhukovskii, Margarita Akhmejanova, Vladislav Kozhevnikov

arxiv:2408.15215 v1 · 2024-08-27 · 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{HW6J5NGATBVP5UZVUYXCX7Z2EW}

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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

Concentration of the maximum size of an induced subtree in moderately sparse random graphs

Receipt and verification

First computed	2026-07-05T08:59:55.950593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3dbc9eb4c0986afed335a62e2bff3a25a3d6d0c1613b8c546034a7aecdefba6c

Aliases

arxiv: 2408.15215 · arxiv_version: 2408.15215v1 · doi: 10.48550/arxiv.2408.15215 · pith_short_12: HW6J5NGATBVP · pith_short_16: HW6J5NGATBVP5UZV · pith_short_8: HW6J5NGA

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/HW6J5NGATBVP5UZVUYXCX7Z2EW \
  | 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: 3dbc9eb4c0986afed335a62e2bff3a25a3d6d0c1613b8c546034a7aecdefba6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81f2cd69075b8f9792ddf5e4ce0a48a48c9eee30468863b85abe227c99cfd7cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-08-27T17:23:58Z",
    "title_canon_sha256": "0a780a14e860de59fd4b7d151ffd88c7d75e33ca6d0c73534360be1e0cd41676"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.15215",
    "kind": "arxiv",
    "version": 1
  }
}