Pith Number

pith:ZRKYABUC

pith:2013:ZRKYABUCZXK4EBL42DR6N4LAHU

not attested not anchored not stored refs pending

A survey on the skew energy of oriented graphs

Huishu Lian, Xueliang Li

arxiv:1304.5707 v6 · 2013-04-21 · 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{ZRKYABUCZXK4EBL42DR6N4LAHU}

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

Free-Fermion Subsystem Codes

Receipt and verification

First computed	2026-05-18T02:07:32.240128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc55800682cdd5c2057cd0e3e6f1603d07b4fd0f69288bf1a32358bf11738b46

Aliases

arxiv: 1304.5707 · arxiv_version: 1304.5707v6 · doi: 10.48550/arxiv.1304.5707 · pith_short_12: ZRKYABUCZXK4 · pith_short_16: ZRKYABUCZXK4EBL4 · pith_short_8: ZRKYABUC

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/ZRKYABUCZXK4EBL42DR6N4LAHU \
  | 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: cc55800682cdd5c2057cd0e3e6f1603d07b4fd0f69288bf1a32358bf11738b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a81add7dfe43335609d7957d98396810fff0ff7123b0e862ec1bb292817d748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-21T08:40:33Z",
    "title_canon_sha256": "c463b83494a817ddc2037c976c2f3601e85c94950195bb6a2c361994e654be21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5707",
    "kind": "arxiv",
    "version": 6
  }
}