Pith Number

pith:EAYELX6Y

pith:2017:EAYELX6Y2NBZ4U2JPRHH6LYGAW

not attested not anchored not stored refs pending

The energy change of the complete multipartite graph

Chang-Xiang He, Hai-Ying Shan, Zhen-Sheng Yu

arxiv:1711.04095 v1 · 2017-11-11 · 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{EAYELX6Y2NBZ4U2JPRHH6LYGAW}

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	2026-05-18T00:30:50.089173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

203045dfd8d3439e53497c4e7f2f0605ae9036c84c75bea47488f6aa666c865d

Aliases

arxiv: 1711.04095 · arxiv_version: 1711.04095v1 · doi: 10.48550/arxiv.1711.04095 · pith_short_12: EAYELX6Y2NBZ · pith_short_16: EAYELX6Y2NBZ4U2J · pith_short_8: EAYELX6Y

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/EAYELX6Y2NBZ4U2JPRHH6LYGAW \
  | 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: 203045dfd8d3439e53497c4e7f2f0605ae9036c84c75bea47488f6aa666c865d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e84298e1ad90181197d65695d51d15c6a9d6584a1217750ecb7b2b808cbe603",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-11T08:15:21Z",
    "title_canon_sha256": "6390f72cfae3ba7f094091b381a070442cb8c1abdccf9f5d3ed20bf2fa8d3d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04095",
    "kind": "arxiv",
    "version": 1
  }
}