Pith Number

pith:FWQPR2BQ

pith:2015:FWQPR2BQDZDLAKUVBWTZZ3WNRI

not attested not anchored not stored refs pending

Interlacements and the Wired Uniform Spanning Forest

Tom Hutchcroft

arxiv:1512.08509 v2 · 2015-12-28 · 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{FWQPR2BQDZDLAKUVBWTZZ3WNRI}

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	2026-05-18T00:17:19.873287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2da0f8e8301e46b02a950da79ceecd8a31fad9b32ce120accd55574f15f2ac1e

Aliases

arxiv: 1512.08509 · arxiv_version: 1512.08509v2 · doi: 10.48550/arxiv.1512.08509 · pith_short_12: FWQPR2BQDZDL · pith_short_16: FWQPR2BQDZDLAKUV · pith_short_8: FWQPR2BQ

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/FWQPR2BQDZDLAKUVBWTZZ3WNRI \
  | 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: 2da0f8e8301e46b02a950da79ceecd8a31fad9b32ce120accd55574f15f2ac1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0d5499029c83fd2127d9952456701a439bb8540eaa841e34d4afa9a8a5ee4c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-28T20:50:25Z",
    "title_canon_sha256": "7d9fdfe94f7a615ea137217a032680f8a047d939cadbb7338de6cc0a599666f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08509",
    "kind": "arxiv",
    "version": 2
  }
}