Pith Number

pith:P24WXXXH

pith:2026:P24WXXXHVKLGDHCZWUZLYAVGCD

not attested not anchored not stored refs pending

Anderson localization on the Bethe lattice

Angelica Vecchiarelli, Dafne Prado Bandeira, Marco Tarzia

arxiv:2606.24671 v1 · 2026-06-23 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P24WXXXHVKLGDHCZWUZLYAVGCD}

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	2026-06-24T01:15:38.813754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eb96bdee7aa96619c59b532bc02a610efba5173f7e78ff7ee4aa131f3db06fb

Aliases

arxiv: 2606.24671 · arxiv_version: 2606.24671v1 · doi: 10.48550/arxiv.2606.24671 · pith_short_12: P24WXXXHVKLG · pith_short_16: P24WXXXHVKLGDHCZ · pith_short_8: P24WXXXH

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/P24WXXXHVKLGDHCZWUZLYAVGCD \
  | 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: 7eb96bdee7aa96619c59b532bc02a610efba5173f7e78ff7ee4aa131f3db06fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fc6e1fb49cfc09c7235bdae53f66aa7f039f23375f11cee36959b780c5e85f6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2026-06-23T15:04:41Z",
    "title_canon_sha256": "d771f8f3b1672e03b542592d9a717b2c0fed157bd3db3eab7f4a0584409c7bd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24671",
    "kind": "arxiv",
    "version": 1
  }
}