Pith Number

pith:WTVKFGWQ

pith:2017:WTVKFGWQUOPP5JV6FGKUI6UJRY

not attested not anchored not stored refs pending

On distance and Laplacian matrices of trees with matrix weights

Fouzul Atik, M. Rajesh Kannan, R. B. Bapat

arxiv:1710.10097 v1 · 2017-10-27 · 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{WTVKFGWQUOPP5JV6FGKUI6UJRY}

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	2026-05-18T00:31:54.763144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4eaa29ad0a39efea6be2995447a898e303d751f0f20bbb697c3932c8992b8d5

Aliases

arxiv: 1710.10097 · arxiv_version: 1710.10097v1 · doi: 10.48550/arxiv.1710.10097 · pith_short_12: WTVKFGWQUOPP · pith_short_16: WTVKFGWQUOPP5JV6 · pith_short_8: WTVKFGWQ

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/WTVKFGWQUOPP5JV6FGKUI6UJRY \
  | 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: b4eaa29ad0a39efea6be2995447a898e303d751f0f20bbb697c3932c8992b8d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b70006a107c1a1b75a2e7d3a0bd71f10c25ae98d375ee8ee096982ae8ef5d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-27T12:05:26Z",
    "title_canon_sha256": "2101e06917488b2cf5d023d44de7ca5d41752b366e368ee22a21c6f4d1d200ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10097",
    "kind": "arxiv",
    "version": 1
  }
}