Pith Number

pith:E3DMHLUR

pith:2016:E3DMHLUR4MNPE6MSOW3XN4OSCY

not attested not anchored not stored refs pending

Sampling Random Spanning Trees Faster than Matrix Multiplication

Anup B. Rao, David Durfee, John Peebles, Rasmus Kyng, Sushant Sachdeva

arxiv:1611.07451 v2 · 2016-11-22 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3DMHLUR4MNPE6MSOW3XN4OSCY}

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	2026-05-18T00:41:58.090747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26c6c3ae91e31af2799275b776f1d21628b1d461476534fa76aafdc4ef049c09

Aliases

arxiv: 1611.07451 · arxiv_version: 1611.07451v2 · doi: 10.48550/arxiv.1611.07451 · pith_short_12: E3DMHLUR4MNP · pith_short_16: E3DMHLUR4MNPE6MS · pith_short_8: E3DMHLUR

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/E3DMHLUR4MNPE6MSOW3XN4OSCY \
  | 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: 26c6c3ae91e31af2799275b776f1d21628b1d461476534fa76aafdc4ef049c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d6bf475086bb7141f57cd4ca4046b79815ccd598a78a1faae50c0e62c101b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-22T18:35:03Z",
    "title_canon_sha256": "6c8ad1e580f0321843d7391114325b9f016afb0655a86f9b5abbbfef572de965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07451",
    "kind": "arxiv",
    "version": 2
  }
}