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Pith Number

pith:DOK63CCP

pith:2016:DOK63CCPDQ3RO3E3AQ3OCTK4FM
not attested not anchored not stored refs pending

Laplacian spectral characterization of roses

Changxiang He, Edwin R. van Dam

arxiv:1607.05466 v2 · 2016-07-19 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DOK63CCPDQ3RO3E3AQ3OCTK4FM}

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 2026-05-18T00:34:57.885975Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1b95ed884f1c37176c9b0436e14d5c2b3d353808e272830fe1087e79dd473933

Aliases

arxiv: 1607.05466 · arxiv_version: 1607.05466v2 · doi: 10.48550/arxiv.1607.05466 · pith_short_12: DOK63CCPDQ3R · pith_short_16: DOK63CCPDQ3RO3E3 · pith_short_8: DOK63CCP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DOK63CCPDQ3RO3E3AQ3OCTK4FM \
  | 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: 1b95ed884f1c37176c9b0436e14d5c2b3d353808e272830fe1087e79dd473933
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8c35eb2568b06808c7431d94d18be3da22bbc830eccc9b26c6f5ed54fc2754d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-19T09:00:49Z",
    "title_canon_sha256": "00da37d5aaa8b419f771063b5befebc6fe5b42c3bf783406382d63e4358559c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05466",
    "kind": "arxiv",
    "version": 2
  }
}