Pith Number

pith:35XSTRXZ

pith:2025:35XSTRXZYTQHCJKAOAI3R33M55

not attested not anchored not stored refs pending

Vertex Partitioning and $p$-Energy of Graphs

Bojan Mohar, Hitesh Kumar, Saieed Akbari, Shivaramakrishna Pragada

arxiv:2503.16882 v2 · 2025-03-21 · 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{35XSTRXZYTQHCJKAOAI3R33M55}

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

Refinement of a conjecture on positive square energy of graphs

Receipt and verification

First computed	2026-07-05T11:25:09.135529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df6f29c6f9c4e07125407011b8ef6cef4c3c3eda73e0157542cf3fd951355faa

Aliases

arxiv: 2503.16882 · arxiv_version: 2503.16882v2 · doi: 10.48550/arxiv.2503.16882 · pith_short_12: 35XSTRXZYTQH · pith_short_16: 35XSTRXZYTQHCJKA · pith_short_8: 35XSTRXZ

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/35XSTRXZYTQHCJKAOAI3R33M55 \
  | 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: df6f29c6f9c4e07125407011b8ef6cef4c3c3eda73e0157542cf3fd951355faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5cef5bdb039a9a00adb4ffa62b01984fe4c9cc5e3266e52254166efc5b9bf1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-21T06:33:17Z",
    "title_canon_sha256": "83ca7843707765c4b17e19d179b8d43b786ea6a1201e4ddbd5919d8191ebde5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.16882",
    "kind": "arxiv",
    "version": 2
  }
}