Pith Number

pith:XLWLLDTV

pith:2017:XLWLLDTVNRUAK6KLLV6EIMIDJA

not attested not anchored not stored refs pending

Spectral characterization of mixed extensions of small graphs

Willem H. Haemers

arxiv:1712.01749 v2 · 2017-12-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLWLLDTVNRUAK6KLLV6EIMIDJA}

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	2026-05-18T00:22:15.780145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baecb58e756c6805794b5d7c443103482a77d9bc4ae346c19d5b725dadd6efe0

Aliases

arxiv: 1712.01749 · arxiv_version: 1712.01749v2 · doi: 10.48550/arxiv.1712.01749 · pith_short_12: XLWLLDTVNRUA · pith_short_16: XLWLLDTVNRUAK6KL · pith_short_8: XLWLLDTV

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/XLWLLDTVNRUAK6KLLV6EIMIDJA \
  | 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: baecb58e756c6805794b5d7c443103482a77d9bc4ae346c19d5b725dadd6efe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67822d3175ec9dff633445f0a3c52f559614e8e121f3fd10baa033a5ec371834",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-05T16:40:32Z",
    "title_canon_sha256": "9b57064ad9a8036e774fb0c1c8b6fe4e4022d8457a6226a43abd4a6ba45ecb2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01749",
    "kind": "arxiv",
    "version": 2
  }
}