Pith Number

pith:4EM3OT6M

pith:2015:4EM3OT6M4U4X6WD5BZ5Z2VZWYD

not attested not anchored not stored refs pending

Fast Generation of Random Spanning Trees and the Effective Resistance Metric

Aleksander Madry, Damian Straszak, Jakub Tarnawski

arxiv:1501.00267 v1 · 2015-01-01 · cs.DS · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EM3OT6M4U4X6WD5BZ5Z2VZWYD}

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	2026-05-18T00:48:43.373252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e119b74fcce5397f587d0e7b9d5736c0e8c723450364b3aa2b283556d7175d89

Aliases

arxiv: 1501.00267 · arxiv_version: 1501.00267v1 · doi: 10.48550/arxiv.1501.00267 · pith_short_12: 4EM3OT6M4U4X · pith_short_16: 4EM3OT6M4U4X6WD5 · pith_short_8: 4EM3OT6M

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/4EM3OT6M4U4X6WD5BZ5Z2VZWYD \
  | 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: e119b74fcce5397f587d0e7b9d5736c0e8c723450364b3aa2b283556d7175d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce45016b5fdcd2ba9d1ddd4fc8508f0ebbdda090fa319b6dc787ac93cb2502f5",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2015-01-01T10:28:01Z",
    "title_canon_sha256": "8b7baf74f45c3b9f7c320c8d4fc435d701cd4fb344e31972be66374b286b1090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00267",
    "kind": "arxiv",
    "version": 1
  }
}