Pith Number

pith:2GMWAD75

pith:2018:2GMWAD75QNUAT3R6PFNQP3C2JT

not attested not anchored not stored refs pending

Spectral Analysis for Non-Hermitian Matrices and Directed Graphs

Edinah K. Gnang, James M. Murphy

arxiv:1812.04737 v3 · 2018-12-11 · 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{2GMWAD75QNUAT3R6PFNQP3C2JT}

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	2026-05-17T23:45:52.384510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d199600ffd836809ee3e795b07ec5a4cef3bd944f28c97c9e348ad9a4fdab3a2

Aliases

arxiv: 1812.04737 · arxiv_version: 1812.04737v3 · doi: 10.48550/arxiv.1812.04737 · pith_short_12: 2GMWAD75QNUA · pith_short_16: 2GMWAD75QNUAT3R6 · pith_short_8: 2GMWAD75

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/2GMWAD75QNUAT3R6PFNQP3C2JT \
  | 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: d199600ffd836809ee3e795b07ec5a4cef3bd944f28c97c9e348ad9a4fdab3a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53053ea8ee2aaf3537cf32b8d930cbaf89b99d9c0ad217294de81e0c7aa56fdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-12-11T23:06:49Z",
    "title_canon_sha256": "cbba994e21c891bb54acb4948026eb1053347a4485f02b7daa871e6fce3427fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04737",
    "kind": "arxiv",
    "version": 3
  }
}