Pith Number

pith:PEQPCHTO

pith:2016:PEQPCHTOWFLABBGFGYRHG4D43U

not attested not anchored not stored refs pending

Minimal Skew energy of oriented bicyclic graphs with a given diameter

Ligong Wang, Xiangxiang Liu

arxiv:1610.06644 v1 · 2016-10-21 · 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{PEQPCHTOWFLABBGFGYRHG4D43U}

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	2026-05-18T01:01:37.123335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7920f11e6eb1560084c5362273707cdd1c49d99de1c102a42184048f5484d929

Aliases

arxiv: 1610.06644 · arxiv_version: 1610.06644v1 · doi: 10.48550/arxiv.1610.06644 · pith_short_12: PEQPCHTOWFLA · pith_short_16: PEQPCHTOWFLABBGF · pith_short_8: PEQPCHTO

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/PEQPCHTOWFLABBGFGYRHG4D43U \
  | 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: 7920f11e6eb1560084c5362273707cdd1c49d99de1c102a42184048f5484d929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e583d3790d06c27040f4945eb5da4f5dbaf5ffc147c531ad8d8bc7ce5d19746a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-21T01:50:44Z",
    "title_canon_sha256": "0f2b26cd117b6da1920cf5e4ddd2b8b1d7254bac3d6d4b4ae893f356cb09c598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06644",
    "kind": "arxiv",
    "version": 1
  }
}