Pith Number

pith:FYL4EP2C

pith:2005:FYL4EP2CNRTXRAT4EIHPFQFCDP

not attested not anchored not stored refs pending

On the spectra of nonsymmetric Laplacian matrices

Pavel Chebotarev, Rafig Agaev

arxiv:math/0508176 v1 · 2005-08-10 · 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{FYL4EP2CNRTXRAT4EIHPFQFCDP}

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	2026-07-04T14:40:17.861068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e17c23f426c6778827c220ef2c0a21bc646daf828d76a0693f3d8596ca9877f

Aliases

arxiv: math/0508176 · arxiv_version: math/0508176v1 · doi: 10.48550/arxiv.math/0508176 · pith_short_12: FYL4EP2CNRTX · pith_short_16: FYL4EP2CNRTXRAT4 · pith_short_8: FYL4EP2C

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/FYL4EP2CNRTXRAT4EIHPFQFCDP \
  | 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: 2e17c23f426c6778827c220ef2c0a21bc646daf828d76a0693f3d8596ca9877f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18667b2f4ffebb3125bbabf267a71680e02860a43ee25beee2e8a4313ff25112",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-08-10T07:25:39Z",
    "title_canon_sha256": "df83adeb2228a5ac09a4f11ee57c64f243986aff7c16b56b9dbcc10adc00525b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508176",
    "kind": "arxiv",
    "version": 1
  }
}