Pith Number

pith:RBGWX7KQ

pith:2019:RBGWX7KQQFYRKZSLMON4K5FNNS

not attested not anchored not stored refs pending

Open problems in the spectral theory of signed graphs

Francesco Belardo, Jack H. Koolen, Jianfeng Wang, Sebastian M. Cioab\u{a}

arxiv:1907.04349 v1 · 2019-07-09 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBGWX7KQQFYRKZSLMON4K5FNNS}

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	2026-05-17T23:41:02.008871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

884d6bfd50817115664b639bc574ad6ca98dba8d4e0854cc023960fe1a7c5bdd

Aliases

arxiv: 1907.04349 · arxiv_version: 1907.04349v1 · doi: 10.48550/arxiv.1907.04349 · pith_short_12: RBGWX7KQQFYR · pith_short_16: RBGWX7KQQFYRKZSL · pith_short_8: RBGWX7KQ

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/RBGWX7KQQFYRKZSLMON4K5FNNS \
  | 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: 884d6bfd50817115664b639bc574ad6ca98dba8d4e0854cc023960fe1a7c5bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3023806ae8bdedb55fff2bcfb2d00f545688639738d9f84bdf67293e8fce984",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-09T18:12:51Z",
    "title_canon_sha256": "7e0b046b1883c6e6710ae5e2746fdbf7c404b3d98e6b3b56e2aa23fb037707f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04349",
    "kind": "arxiv",
    "version": 1
  }
}