Pith Number

pith:FCOA4272

pith:2008:FCOA4272UJ733M7MHWDSMYH3XH

not attested not anchored not stored refs pending

Continuity of the integrated density of states on random length metric graphs

Daniel Lenz, Ivan Veselic', Norbert Peyerimhoff, Olaf Post

arxiv:0811.4513 v2 · 2008-11-27 · math.SP · 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{FCOA4272UJ733M7MHWDSMYH3XH}

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	2026-05-18T02:15:12.882139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289c0e6bfaa27fbdb3ec3d872660fbb9c1d27e41295c5e0ad8d789199c7b9dff

Aliases

arxiv: 0811.4513 · arxiv_version: 0811.4513v2 · doi: 10.48550/arxiv.0811.4513 · pith_short_12: FCOA4272UJ73 · pith_short_16: FCOA4272UJ733M7M · pith_short_8: FCOA4272

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/FCOA4272UJ733M7MHWDSMYH3XH \
  | 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: 289c0e6bfaa27fbdb3ec3d872660fbb9c1d27e41295c5e0ad8d789199c7b9dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec45dc38a56e2bb67f03c221a98575508c73d1d03d62cd1fe907628c1871c1d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-11-27T11:09:26Z",
    "title_canon_sha256": "96a2d7df67be1b2e4e1a6e86dd1a7fabb92b95fc5a3c9fc57b76d21bac7ae26d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4513",
    "kind": "arxiv",
    "version": 2
  }
}