Pith Number

pith:DLA5VKI3

pith:2014:DLA5VKI3XLWNBYYOZ7HMLGGTJC

not attested not anchored not stored refs pending

On the symmetry of the Laplacian spectra of signed graphs

Bobo Hua, Fatihcan M. Atay

arxiv:1411.6113 v1 · 2014-11-22 · math.CO · 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{DLA5VKI3XLWNBYYOZ7HMLGGTJC}

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	2026-05-18T01:20:50.637484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ac1daa91bbaecd0e30ecfcec598d3489f939ca582408102e89becd7dd4b3ca3

Aliases

arxiv: 1411.6113 · arxiv_version: 1411.6113v1 · doi: 10.48550/arxiv.1411.6113 · pith_short_12: DLA5VKI3XLWN · pith_short_16: DLA5VKI3XLWNBYYO · pith_short_8: DLA5VKI3

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/DLA5VKI3XLWNBYYOZ7HMLGGTJC \
  | 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: 1ac1daa91bbaecd0e30ecfcec598d3489f939ca582408102e89becd7dd4b3ca3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7b7ad4b350d608d87eee5aa11bd0aaa7365abbb464ce4c44917a6d350546f12",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-22T10:56:55Z",
    "title_canon_sha256": "2f7a438b4ee079f5a9100b316b5c9285f64d7d2710ea5aa13ecd493834140ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6113",
    "kind": "arxiv",
    "version": 1
  }
}