Pith Number

pith:DJABYHEQ

pith:2019:DJABYHEQ6RPKUXLS6EQORWTWVG

not attested not anchored not stored refs pending

Spectral Graph Analysis: A Unified Explanation and Modern Perspectives

Kaijun Wang, Subhadeep Mukhopadhyay

arxiv:1901.07090 v1 · 2019-01-21 · math.ST · stat.CO · stat.TH

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

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	2026-05-17T23:55:48.195100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a401c1c90f45eaa5d72f120e8da76a989fc4074b14575a4aa02e79c2753c2cb

Aliases

arxiv: 1901.07090 · arxiv_version: 1901.07090v1 · doi: 10.48550/arxiv.1901.07090 · pith_short_12: DJABYHEQ6RPK · pith_short_16: DJABYHEQ6RPKUXLS · pith_short_8: DJABYHEQ

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/DJABYHEQ6RPKUXLS6EQORWTWVG \
  | 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: 1a401c1c90f45eaa5d72f120e8da76a989fc4074b14575a4aa02e79c2753c2cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69e124f234fe1e33d5ca8d621485d089e38ada40e089d02e432dcab531d4d39b",
    "cross_cats_sorted": [
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-01-21T21:41:52Z",
    "title_canon_sha256": "dcc3b80709f95750fa772243b0f60358b22a8d26e7e5cce051b8d1453c22becd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07090",
    "kind": "arxiv",
    "version": 1
  }
}