Pith Number

pith:Z5XOMRYS

pith:2013:Z5XOMRYSSDQOXJCA6NVMUI6MGL

not attested not anchored not stored refs pending

On oriented graphs with minimal skew energy

Guanghui Xu, Shicai Gong, Xueliang Li

arxiv:1304.2458 v1 · 2013-04-09 · 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{Z5XOMRYSSDQOXJCA6NVMUI6MGL}

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	2026-05-18T03:28:31.956035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6ee6471290e0eba440f36aca23cc32dbea659fdd44438428544587933ff505

Aliases

arxiv: 1304.2458 · arxiv_version: 1304.2458v1 · doi: 10.48550/arxiv.1304.2458 · pith_short_12: Z5XOMRYSSDQO · pith_short_16: Z5XOMRYSSDQOXJCA · pith_short_8: Z5XOMRYS

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/Z5XOMRYSSDQOXJCA6NVMUI6MGL \
  | 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: cf6ee6471290e0eba440f36aca23cc32dbea659fdd44438428544587933ff505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5910c3d43d3946ee8559ecd1440dd35a004929d7614189c83022c022f9e3c492",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-09T05:42:20Z",
    "title_canon_sha256": "748930fdc982879633c8b022bf8dc45af1ef745a0dd4a4d276ea54c20df222b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2458",
    "kind": "arxiv",
    "version": 1
  }
}