Pith Number

pith:LDRXS3B3

pith:2010:LDRXS3B3LCWVYSLEGLIU473DCX

not attested not anchored not stored refs pending

Spanning forests and the vector bundle Laplacian

Richard Kenyon

arxiv:1001.4028 v3 · 2010-01-22 · 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{LDRXS3B3LCWVYSLEGLIU473DCX}

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	2026-05-18T04:06:46.345536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58e3796c3b58ad5c496432d14e7f6315f0931d2f6f02e621d3f86cae11957cfe

Aliases

arxiv: 1001.4028 · arxiv_version: 1001.4028v3 · doi: 10.48550/arxiv.1001.4028 · pith_short_12: LDRXS3B3LCWV · pith_short_16: LDRXS3B3LCWVYSLE · pith_short_8: LDRXS3B3

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/LDRXS3B3LCWVYSLEGLIU473DCX \
  | 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: 58e3796c3b58ad5c496432d14e7f6315f0931d2f6f02e621d3f86cae11957cfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf2dcadc6884fc3ba0a57e91f1feecc12f31465288b8bf2712e0ac8686579d94",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-01-22T15:43:14Z",
    "title_canon_sha256": "507246d89078560c2c44001bec0ac4d88509f6f7d6410d0114ebfbc3778602e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4028",
    "kind": "arxiv",
    "version": 3
  }
}