Pith Number

pith:6WSWUR53

pith:2007:6WSWUR53WMHG35VCVXBY6DGURV

not attested not anchored not stored refs pending

Hamiltonians on discrete structures: Jumps of the integrated density of states and uniform convergence

Daniel Lenz, Ivan Veselic'

arxiv:0709.2836 v2 · 2007-09-18 · math.MG · 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{6WSWUR53WMHG35VCVXBY6DGURV}

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	2026-05-18T00:04:42.375453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5a56a47bbb30e6df6a2adc38f0cd48d43e2b400515c7ca07710b420bf00b5a6

Aliases

arxiv: 0709.2836 · arxiv_version: 0709.2836v2 · doi: 10.48550/arxiv.0709.2836 · pith_short_12: 6WSWUR53WMHG · pith_short_16: 6WSWUR53WMHG35VC · pith_short_8: 6WSWUR53

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/6WSWUR53WMHG35VCVXBY6DGURV \
  | 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: f5a56a47bbb30e6df6a2adc38f0cd48d43e2b400515c7ca07710b420bf00b5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeaa5b01dd683329347069019526f1e265a39a9e818f44598c666e809aed4916",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2007-09-18T14:36:06Z",
    "title_canon_sha256": "f25fcec2a82725ef14bec00538b099bcdf937913d2a259731bd44c61c484a8c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.2836",
    "kind": "arxiv",
    "version": 2
  }
}