Pith Number

pith:7TRXVBMT

pith:2014:7TRXVBMTJK76LQL2WFIKFSVF6B

not attested not anchored not stored refs pending

Maximizing algebraic connectivity for certain families of graphs

Theodore Kolokolnikov

arxiv:1412.6147 v1 · 2014-12-17 · cs.DM · math.CO · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TRXVBMTJK76LQL2WFIKFSVF6B}

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	2026-05-18T02:30:54.278432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce37a85934abfe5c17ab150a2caa5f05998435f9a1fa7c7a53e8621a6c9cb16

Aliases

arxiv: 1412.6147 · arxiv_version: 1412.6147v1 · doi: 10.48550/arxiv.1412.6147 · pith_short_12: 7TRXVBMTJK76 · pith_short_16: 7TRXVBMTJK76LQL2 · pith_short_8: 7TRXVBMT

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/7TRXVBMTJK76LQL2WFIKFSVF6B \
  | 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: fce37a85934abfe5c17ab150a2caa5f05998435f9a1fa7c7a53e8621a6c9cb16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffaf5bf9a170e4f0aea4930d7b806b3016d3ea8daeb9f924a9ad19f5ce6266a2",
    "cross_cats_sorted": [
      "math.CO",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2014-12-17T18:49:49Z",
    "title_canon_sha256": "2b255f5cb1d807241f8ea3ffcb5690f290c9ef9408f565419cdcbe6b013d5384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6147",
    "kind": "arxiv",
    "version": 1
  }
}