Pith Number

pith:QWFUKGRB

pith:2019:QWFUKGRBAU67KXNSVNJWIWN5E3

not attested not anchored not stored refs pending

Successive minimum spanning trees

Gregory B. Sorkin, Svante Janson

arxiv:1906.01533 v1 · 2019-06-04 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWFUKGRBAU67KXNSVNJWIWN5E3}

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	2026-05-17T23:44:16.222807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858b451a21053df55db2ab536459bd26eff9df535378d1ce7c6b8fd9aefcd66c

Aliases

arxiv: 1906.01533 · arxiv_version: 1906.01533v1 · doi: 10.48550/arxiv.1906.01533 · pith_short_12: QWFUKGRBAU67 · pith_short_16: QWFUKGRBAU67KXNS · pith_short_8: QWFUKGRB

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/QWFUKGRBAU67KXNSVNJWIWN5E3 \
  | 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: 858b451a21053df55db2ab536459bd26eff9df535378d1ce7c6b8fd9aefcd66c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "020e2037a3ac7c05f1a88da50073cd5d73b570c08fc32a56de2c62e7f5d4d225",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-04T15:44:26Z",
    "title_canon_sha256": "4c00579eb4b0cd37ca1084318f9afd9d94ac6de144850a25f2a6d982f4da5b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01533",
    "kind": "arxiv",
    "version": 1
  }
}