Pith Number

pith:6LSYKTLF

pith:2019:6LSYKTLF5X5UHRZP6WA5KSSNXY

not attested not anchored not stored refs pending

Some graft transformations and their applications on distance (signless) Laplacian spectra of graphs

Dandy Fan, Guoping Wang

arxiv:1907.02851 v1 · 2019-07-04 · 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{6LSYKTLF5X5UHRZP6WA5KSSNXY}

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	2026-05-17T23:41:22.863918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2e5854d65edfb43c72ff581d54a4dbe192a02def3018d518effdd527d4bb50c

Aliases

arxiv: 1907.02851 · arxiv_version: 1907.02851v1 · doi: 10.48550/arxiv.1907.02851 · pith_short_12: 6LSYKTLF5X5U · pith_short_16: 6LSYKTLF5X5UHRZP · pith_short_8: 6LSYKTLF

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/6LSYKTLF5X5UHRZP6WA5KSSNXY \
  | 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: f2e5854d65edfb43c72ff581d54a4dbe192a02def3018d518effdd527d4bb50c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd5bba6c0de4784d0c941065946dff8a277a933ef0fd3f33f65a11895cf45a47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-04T00:49:25Z",
    "title_canon_sha256": "ae5aaeca45370497aa1a6fd947710f178e6eeb02977f6b8e35518135c8c5519d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.02851",
    "kind": "arxiv",
    "version": 1
  }
}