Pith Number

pith:CFZL5MQB

pith:2017:CFZL5MQBRPCCHS3VHNJXE2AX4V

not attested not anchored not stored refs pending

The Component Graph of the Uniform Spanning Forest: Transitions in Dimensions $9,10,11,\ldots$

Tom Hutchcroft, Yuval Peres

arxiv:1702.05780 v2 · 2017-02-19 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFZL5MQBRPCCHS3VHNJXE2AX4V}

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	2026-05-18T00:03:25.156322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1172beb2018bc423cb753b53726817e574113a2d254f404f4ba18210a070e255

Aliases

arxiv: 1702.05780 · arxiv_version: 1702.05780v2 · doi: 10.48550/arxiv.1702.05780 · pith_short_12: CFZL5MQBRPCC · pith_short_16: CFZL5MQBRPCCHS3V · pith_short_8: CFZL5MQB

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/CFZL5MQBRPCCHS3VHNJXE2AX4V \
  | 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: 1172beb2018bc423cb753b53726817e574113a2d254f404f4ba18210a070e255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b70378b7c2ded36bad859a990a7b6e2220d13bb72e3f910495a21d8322b95b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-19T18:34:58Z",
    "title_canon_sha256": "c4216fc34d948e3b40bfac2847e2131094ce7edbc898dd159dfb3c716973b815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05780",
    "kind": "arxiv",
    "version": 2
  }
}