Pith Number

pith:6OBD7FDM

pith:2018:6OBD7FDMKHU2762JJRBZESRHFA

not attested not anchored not stored refs pending

Eigenvalues of Cayley graphs

Sanming Zhou, Xiaogang Liu

arxiv:1809.09829 v3 · 2018-09-26 · 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{6OBD7FDMKHU2762JJRBZESRHFA}

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	2026-07-05T04:16:49.428634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3823f946c51e9affb494c43924a272824ee49e5dba54f3c0c08a12733208879

Aliases

arxiv: 1809.09829 · arxiv_version: 1809.09829v3 · doi: 10.48550/arxiv.1809.09829 · pith_short_12: 6OBD7FDMKHU2 · pith_short_16: 6OBD7FDMKHU2762J · pith_short_8: 6OBD7FDM

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/6OBD7FDMKHU2762JJRBZESRHFA \
  | 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: f3823f946c51e9affb494c43924a272824ee49e5dba54f3c0c08a12733208879

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05ca9383271621da58bf0a67992877ef9d0bb6ea14ee20d22d5ddb4f0ffa653",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-26T07:15:12Z",
    "title_canon_sha256": "f9207a1d3f296b95029f3e4a6f5a9aff1aeaeb3fe563cdd9c52f3944d92e6bff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09829",
    "kind": "arxiv",
    "version": 3
  }
}