Pith Number

pith:HZN2UPPB

pith:2023:HZN2UPPBX2LXZPM4CMTSA2AAH2

not attested not anchored not stored refs pending

Symmetry and asymmetry between positive and negative square energies of graphs

Clive Elphick, William Linz

arxiv:2311.11530 v3 · 2023-11-20 · 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{HZN2UPPBX2LXZPM4CMTSA2AAH2}

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

Conic programming to understand sums of squares of eigenvalues of graphs

Receipt and verification

First computed	2026-07-05T08:11:42.005199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5baa3de1be977cbd9c13272068003e950e6f28d52260100f38f3bc11ab380f

Aliases

arxiv: 2311.11530 · arxiv_version: 2311.11530v3 · doi: 10.48550/arxiv.2311.11530 · pith_short_12: HZN2UPPBX2LX · pith_short_16: HZN2UPPBX2LXZPM4 · pith_short_8: HZN2UPPB

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/HZN2UPPBX2LXZPM4CMTSA2AAH2 \
  | 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: 3e5baa3de1be977cbd9c13272068003e950e6f28d52260100f38f3bc11ab380f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b46f8ed1bc8bd5eeac7227f678e017e70372dcf16dc034572ad0daa30935fb26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-20T04:27:33Z",
    "title_canon_sha256": "8fb0dcc62906d3e59b5a9df569b0542f188421264ce377d4f9ccda22745e8481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.11530",
    "kind": "arxiv",
    "version": 3
  }
}