Pith Number

pith:DRWDESM2

pith:2023:DRWDESM272XI2WWD67AFN3JULF

not attested not anchored not stored refs pending

Infinite collision property for the three-dimensional uniform spanning tree

Satomi Watanabe

arxiv:2301.08547 v3 · 2023-01-20 · 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{DRWDESM272XI2WWD67AFN3JULF}

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	2026-07-05T05:40:22.106130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c6c32499afeae8d5ac3f7c056ed345962254464315173c71be091c87be8c29c

Aliases

arxiv: 2301.08547 · arxiv_version: 2301.08547v3 · doi: 10.48550/arxiv.2301.08547 · pith_short_12: DRWDESM272XI · pith_short_16: DRWDESM272XI2WWD · pith_short_8: DRWDESM2

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/DRWDESM272XI2WWD67AFN3JULF \
  | 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: 1c6c32499afeae8d5ac3f7c056ed345962254464315173c71be091c87be8c29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7038cef4d3e5268d70e3afef60bbe28c3dcbce1eed19fb25b78f4355cc45d4c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-01-20T13:06:20Z",
    "title_canon_sha256": "1e7467ccc3232a67089d8e357ae4669e4101f98a4967e476db005319bb8c9a7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.08547",
    "kind": "arxiv",
    "version": 3
  }
}