Pith Number

pith:PFVVS4VA

pith:2015:PFVVS4VAL2FZL4OPLFB4L3OYVZ

not attested not anchored not stored refs pending

KMS weights on higher rank buildings

Jake Marcinek, Matilde Marcolli

arxiv:1506.08906 v1 · 2015-06-30 · math.CO · 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{PFVVS4VAL2FZL4OPLFB4L3OYVZ}

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	2026-05-18T01:37:34.154934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796b5972a05e8b95f1cf5943c5edd8ae58bf5147cdac121c8d3b35921622b438

Aliases

arxiv: 1506.08906 · arxiv_version: 1506.08906v1 · doi: 10.48550/arxiv.1506.08906 · pith_short_12: PFVVS4VAL2FZ · pith_short_16: PFVVS4VAL2FZL4OP · pith_short_8: PFVVS4VA

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/PFVVS4VAL2FZL4OPLFB4L3OYVZ \
  | 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: 796b5972a05e8b95f1cf5943c5edd8ae58bf5147cdac121c8d3b35921622b438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a33d8d7766a5f652a92486b08fda42be3c33ebe1dfd595cb30d9cdce56462d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-30T00:17:01Z",
    "title_canon_sha256": "a25ed01d4978be072ef0a98e225e150690159a00d7fafd1e2f832a17ed364189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.08906",
    "kind": "arxiv",
    "version": 1
  }
}