Pith Number

pith:BHF4H5U4

pith:2017:BHF4H5U4F6US3N26T4WQSPZ5RQ

not attested not anchored not stored refs pending

Spectral and Combinatorial Properties of Some Algebraically Defined Graphs

Felix Lazebnik, Sebastian M. Cioab\u{a}, Shuying Sun

arxiv:1708.07597 v1 · 2017-08-25 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHF4H5U4F6US3N26T4WQSPZ5RQ}

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	2026-05-18T00:36:42.604323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09cbc3f69c2fa92db75e9f2d093f3d8c2b7c7a35508d4ba5ff24b3404783791e

Aliases

arxiv: 1708.07597 · arxiv_version: 1708.07597v1 · doi: 10.48550/arxiv.1708.07597 · pith_short_12: BHF4H5U4F6US · pith_short_16: BHF4H5U4F6US3N26 · pith_short_8: BHF4H5U4

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/BHF4H5U4F6US3N26T4WQSPZ5RQ \
  | 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: 09cbc3f69c2fa92db75e9f2d093f3d8c2b7c7a35508d4ba5ff24b3404783791e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0edf5f57adaf77089668aeff07bb36b2d8390aadcb0832345819167d08c8ade5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-25T01:52:31Z",
    "title_canon_sha256": "603e6ca15de91ea653cfd68574904c4527cb55ab555ffe5b97bb0d40a65150e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07597",
    "kind": "arxiv",
    "version": 1
  }
}