Pith Number

pith:M2D6NKBO

pith:2025:M2D6NKBOD53JWSY3YWUCMS4IHQ

not attested not anchored not stored refs pending

On the non-submodularity of the problem of adding links to minimize the effective graph resistance

Massimo A. Achterberg, Robert E. Kooij

arxiv:2501.03363 v1 · 2025-01-06 · cs.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2D6NKBOD53JWSY3YWUCMS4IHQ}

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	2026-07-05T09:57:53.661599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6687e6a82e1f769b4b1bc5a8264b883c14c76683abef9d3fc2ad803fb490bac6

Aliases

arxiv: 2501.03363 · arxiv_version: 2501.03363v1 · doi: 10.48550/arxiv.2501.03363 · pith_short_12: M2D6NKBOD53J · pith_short_16: M2D6NKBOD53JWSY3 · pith_short_8: M2D6NKBO

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/M2D6NKBOD53JWSY3YWUCMS4IHQ \
  | 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: 6687e6a82e1f769b4b1bc5a8264b883c14c76683abef9d3fc2ad803fb490bac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33f7dee2f83c7b52f9f6535631ac0cb1db2d316b27c046b5534cc46b3e3c063f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-01-06T20:04:37Z",
    "title_canon_sha256": "64215074d4a4dbd963eb0495269ef0bb0b70430fc97a8d89e94e8104345e0a28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.03363",
    "kind": "arxiv",
    "version": 1
  }
}