Pith Number

pith:C653HCYX

pith:2013:C653HCYXBVENSDX4UNQ3BHQXRX

not attested not anchored not stored refs pending

The Equivariant Cheeger-M\"uller Theorem on Locally Symmetric Spaces

Michael Lipnowski

arxiv:1312.2543 v2 · 2013-12-09 · math.NT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C653HCYXBVENSDX4UNQ3BHQXRX}

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	2026-05-18T01:19:31.027968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17bbb38b170d48d90efca361b09e178df93cda55ddabe2bd95f486e169ca3d3a

Aliases

arxiv: 1312.2543 · arxiv_version: 1312.2543v2 · doi: 10.48550/arxiv.1312.2543 · pith_short_12: C653HCYXBVEN · pith_short_16: C653HCYXBVENSDX4 · pith_short_8: C653HCYX

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/C653HCYXBVENSDX4UNQ3BHQXRX \
  | 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: 17bbb38b170d48d90efca361b09e178df93cda55ddabe2bd95f486e169ca3d3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11413f8442e0ffef79cfbeddb740d2e2d9f1ebe71d30e0a0d8b357ce3675a602",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-09T18:46:11Z",
    "title_canon_sha256": "3544c9ba307ae41018b65719aff14dda7c1058ca4feb77fc1401c2f3e1ce5bbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2543",
    "kind": "arxiv",
    "version": 2
  }
}