Pith Number

pith:YRK25674

pith:2019:YRK25674CEK56FN74PVMVQAX52

not attested not anchored not stored refs pending

New lower bounds for the energy of matrices and graphs

Enide Andrade, Geraldine Infante, Juan Carmona, Mar\'ia Robbiano

arxiv:1903.01326 v1 · 2019-03-04 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YRK25674CEK56FN74PVMVQAX52}

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	2026-05-17T23:52:09.074120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c455aefbfc1115df15bfe3eacac017ee83de635d84e1f91627aa224ffc44a686

Aliases

arxiv: 1903.01326 · arxiv_version: 1903.01326v1 · doi: 10.48550/arxiv.1903.01326 · pith_short_12: YRK25674CEK5 · pith_short_16: YRK25674CEK56FN7 · pith_short_8: YRK25674

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/YRK25674CEK56FN74PVMVQAX52 \
  | 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: c455aefbfc1115df15bfe3eacac017ee83de635d84e1f91627aa224ffc44a686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca0a202dd72e1abbe204b7c02516efdbd3fbbc8b257dbb8094af8c94b5487ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-03-04T16:14:19Z",
    "title_canon_sha256": "573fe373ec6f8a8846bb44c4b78b8bd3242ced36d34d9978fef49730e2ebf9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01326",
    "kind": "arxiv",
    "version": 1
  }
}