Pith Number

pith:ZTN6HJL4

pith:2018:ZTN6HJL4YFE5YN6IBHG5P3IZEX

not attested not anchored not stored refs pending

Indistinguishability of collections of trees in the uniform spanning forest

Tom Hutchcroft

arxiv:1810.06382 v1 · 2018-10-15 · 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{ZTN6HJL4YFE5YN6IBHG5P3IZEX}

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	2026-05-18T00:03:20.627422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccdbe3a57cc149dc37c809cdd7ed1925d08e8efa44c5d89ec3f6e3c005c027d4

Aliases

arxiv: 1810.06382 · arxiv_version: 1810.06382v1 · doi: 10.48550/arxiv.1810.06382 · pith_short_12: ZTN6HJL4YFE5 · pith_short_16: ZTN6HJL4YFE5YN6I · pith_short_8: ZTN6HJL4

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/ZTN6HJL4YFE5YN6IBHG5P3IZEX \
  | 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: ccdbe3a57cc149dc37c809cdd7ed1925d08e8efa44c5d89ec3f6e3c005c027d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "181bccd45627fce70e1228d7eb7d9c83f69d785040247053e6a8b30b7c43dd4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-10-15T14:31:51Z",
    "title_canon_sha256": "3e7039410f2deaba91d3f29db47a076b4cd2daf177b0feec0d2ed55e00117b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06382",
    "kind": "arxiv",
    "version": 1
  }
}