Pith Number

pith:Y3O6ISL3

pith:2006:Y3O6ISL3XQ2BIEVU3DCEM7KH6M

not attested not anchored not stored refs pending

Uniform existence of the integrated density of states for models on $\ZZ^d$

Daniel Lenz, Ivan Veseli\'c, Peter Mueller

arxiv:math-ph/0607063 v1 · 2006-07-27 · 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{Y3O6ISL3XQ2BIEVU3DCEM7KH6M}

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	2026-05-18T00:04:37.860374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6dde4497bbc341412b4d8c4467d47f31c7dae003fa2ea7cfb63f6bebbd15d98

Aliases

arxiv: math-ph/0607063 · arxiv_version: math-ph/0607063v1 · doi: 10.48550/arxiv.math-ph/0607063 · pith_short_12: Y3O6ISL3XQ2B · pith_short_16: Y3O6ISL3XQ2BIEVU · pith_short_8: Y3O6ISL3

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/Y3O6ISL3XQ2BIEVU3DCEM7KH6M \
  | 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: c6dde4497bbc341412b4d8c4467d47f31c7dae003fa2ea7cfb63f6bebbd15d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1938f838e9919c3e658284847c4a854bad894974eceb9c7e74ca48d13a7bcb6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-07-27T16:19:07Z",
    "title_canon_sha256": "55147d721e1984b9ea8a1b9f26898dad1142846b945ccb25a945003d624341ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0607063",
    "kind": "arxiv",
    "version": 1
  }
}