Pith Number

pith:H2JBGYRU

pith:2017:H2JBGYRUGZFQM75PSQMY7BR2VF

not attested not anchored not stored refs pending

On the Laplacian spectra of some double join operations of graphs

Gui-Xian Tian, Jing-Xiang He, Shu-Yu Cui

arxiv:1705.01295 v1 · 2017-05-03 · 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{H2JBGYRUGZFQM75PSQMY7BR2VF}

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	2026-05-18T00:45:05.470885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e92136234364b067faf94198f863aa97dd3e1ff8af63fa11a8601aa5f1a8ad0

Aliases

arxiv: 1705.01295 · arxiv_version: 1705.01295v1 · doi: 10.48550/arxiv.1705.01295 · pith_short_12: H2JBGYRUGZFQ · pith_short_16: H2JBGYRUGZFQM75P · pith_short_8: H2JBGYRU

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/H2JBGYRUGZFQM75PSQMY7BR2VF \
  | 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: 3e92136234364b067faf94198f863aa97dd3e1ff8af63fa11a8601aa5f1a8ad0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca5214639702e164ffb102e5495adb3f902b5e36ea3be3152ba194ff9aa6a6dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-03T08:23:51Z",
    "title_canon_sha256": "353699a71d92cb5b09fe1c6cce15dc4e208c6b0c08751a072c101f1b18a66bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01295",
    "kind": "arxiv",
    "version": 1
  }
}