Pith Number

pith:4EQIQHKY

pith:2016:4EQIQHKYLLWEVXP7SKFK2ZN2PH

not attested not anchored not stored refs pending

5-regular oriented graphs with optimum skew energy

Lifeng Guo, Ligong Wang, Peng Xiao

arxiv:1603.04280 v1 · 2016-03-14 · 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{4EQIQHKYLLWEVXP7SKFK2ZN2PH}

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	2026-05-18T01:19:08.906872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e120881d585aec4addff928aad65ba79d7bb18743ef06f31c677ba3b879c4c38

Aliases

arxiv: 1603.04280 · arxiv_version: 1603.04280v1 · doi: 10.48550/arxiv.1603.04280 · pith_short_12: 4EQIQHKYLLWE · pith_short_16: 4EQIQHKYLLWEVXP7 · pith_short_8: 4EQIQHKY

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/4EQIQHKYLLWEVXP7SKFK2ZN2PH \
  | 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: e120881d585aec4addff928aad65ba79d7bb18743ef06f31c677ba3b879c4c38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2439b21c669f02231297a6246522e73c37b5710ca91950d689ff6941f1d71ce0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-14T14:41:53Z",
    "title_canon_sha256": "15ee73e96cea55e340def31ac7d07b6f4b8124d8f14fb23a20757365e73a3387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04280",
    "kind": "arxiv",
    "version": 1
  }
}