Pith Number

pith:P5CLZR44

pith:2016:P5CLZR44WGT6GIB7EAG5VAGDIW

not attested not anchored not stored refs pending

A brief introduction to Spectral Graph Theory

Bogdan Nica

arxiv:1609.08072 v1 · 2016-09-26 · math.CO · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5CLZR44WGT6GIB7EAG5VAGDIW}

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	2026-05-18T00:14:41.432303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f44bcc79cb1a7e3203f200dda80c345bb09d9eb55e8558776d082026ea76711

Aliases

arxiv: 1609.08072 · arxiv_version: 1609.08072v1 · doi: 10.48550/arxiv.1609.08072 · pith_short_12: P5CLZR44WGT6 · pith_short_16: P5CLZR44WGT6GIB7 · pith_short_8: P5CLZR44

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/P5CLZR44WGT6GIB7EAG5VAGDIW \
  | 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: 7f44bcc79cb1a7e3203f200dda80c345bb09d9eb55e8558776d082026ea76711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297681f290ebd3094a09e342b96ca9e6ba0376ff8babd9128e539441699acdc4",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-26T16:55:52Z",
    "title_canon_sha256": "c1009bca8becfc6bcdeaed39879e94e55d93f5adf1c5e321587770d066a67606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08072",
    "kind": "arxiv",
    "version": 1
  }
}