Pith Number

pith:X6SA3TDO

pith:2025:X6SA3TDORRJ23TW456VXN3LDVJ

not attested not anchored not stored refs pending

A graph energy conjecture through the lenses of semidefinite programming

Aida Abiad, Emanuel Juliano, Gabriel Coutinho, Luuk Reijnders

arxiv:2509.05814 v1 · 2025-09-06 · 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{X6SA3TDORRJ23TW456VXN3LDVJ}

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

Extremal Graphs for the Energy-Independence Number Inequality

Receipt and verification

First computed	2026-07-05T12:06:24.663915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa40dcc6e8c53adcedcefab76ed63aa65e4a71af527b9795acb80e05cbe18b1

Aliases

arxiv: 2509.05814 · arxiv_version: 2509.05814v1 · doi: 10.48550/arxiv.2509.05814 · pith_short_12: X6SA3TDORRJ2 · pith_short_16: X6SA3TDORRJ23TW4 · pith_short_8: X6SA3TDO

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/X6SA3TDORRJ23TW456VXN3LDVJ \
  | 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: bfa40dcc6e8c53adcedcefab76ed63aa65e4a71af527b9795acb80e05cbe18b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d1e568d28dcd7dacbbad322e6ce5645ee7c13a0ab7457e4f87923a5b8084c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-06T19:16:49Z",
    "title_canon_sha256": "66db0db224aeac0aab5bb2a382e31bfe7915d92f5f43daa759f3fd1ef3890da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.05814",
    "kind": "arxiv",
    "version": 1
  }
}