Pith Number

pith:JR4TKSAU

pith:2013:JR4TKSAUXAVMTZ46QQEU65Y3GA

not attested not anchored not stored refs pending

Optimal Random Matchings, Tours, and Spanning Trees in Hierarchically Separated Trees

Ali Shokoufandeh, B\'ela Csaba, Thomas A. Plick

arxiv:1307.6939 v1 · 2013-07-26 · cs.DM · 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{JR4TKSAUXAVMTZ46QQEU65Y3GA}

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	2026-05-18T03:17:25.794673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c79354814b82ac9e79e84094f771b30058f63c095bd55fc584369ccdc8bc3bc

Aliases

arxiv: 1307.6939 · arxiv_version: 1307.6939v1 · doi: 10.48550/arxiv.1307.6939 · pith_short_12: JR4TKSAUXAVM · pith_short_16: JR4TKSAUXAVMTZ46 · pith_short_8: JR4TKSAU

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/JR4TKSAUXAVMTZ46QQEU65Y3GA \
  | 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: 4c79354814b82ac9e79e84094f771b30058f63c095bd55fc584369ccdc8bc3bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5cc3f518c731ac3f1ccd311979cadf6092bb9699af220d50d46380ccacd07e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-07-26T07:19:33Z",
    "title_canon_sha256": "175b68675929e147a15c2dbb57361dca7c76368b6e9dc58c64a89e451211c37c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6939",
    "kind": "arxiv",
    "version": 1
  }
}