Pith Number

pith:EWDPBHN5

pith:2011:EWDPBHN5Z6ECNPD27Q7NTMRP3L

not attested not anchored not stored refs pending

Uniform existence of the integrated density of states on metric Cayley graphs

Christian Seifert, Fabian Schwarzenberger, Felix Pogorzelski

arxiv:1106.5724 v2 · 2011-06-28 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EWDPBHN5Z6ECNPD27Q7NTMRP3L}

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	2026-05-18T02:58:58.095400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2586f09dbdcf8826bc7afc3ed9b22fdacc98ab994db9b775010ddc06e3d65833

Aliases

arxiv: 1106.5724 · arxiv_version: 1106.5724v2 · doi: 10.48550/arxiv.1106.5724 · pith_short_12: EWDPBHN5Z6EC · pith_short_16: EWDPBHN5Z6ECNPD2 · pith_short_8: EWDPBHN5

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/EWDPBHN5Z6ECNPD27Q7NTMRP3L \
  | 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: 2586f09dbdcf8826bc7afc3ed9b22fdacc98ab994db9b775010ddc06e3d65833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c59fb79dd75442746f1fbeddad08365595677e8d3196fd5107908c3c67027f9",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-28T16:49:23Z",
    "title_canon_sha256": "820f56a2a5e0cb520efd6a922b4dd1885eb01fd3c2fd79762e946fb1d465c8d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5724",
    "kind": "arxiv",
    "version": 2
  }
}