Pith Number

pith:4WPYHDII

pith:2016:4WPYHDIIALS23V6WTPYYZBVUSE

not attested not anchored not stored refs pending

Fractality of wave functions on a Cayley tree: Difference between a tree and a locally tree-like graph without boundary

A. D. Mirlin, K. S. Tikhonov

arxiv:1608.00331 v1 · 2016-08-01 · 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{4WPYHDIIALS23V6WTPYYZBVUSE}

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	2026-05-18T00:53:59.523283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59f838d0802e5add7d69bf18c86b4911a27db1b7c775ae1c5eccf985e623d40

Aliases

arxiv: 1608.00331 · arxiv_version: 1608.00331v1 · doi: 10.48550/arxiv.1608.00331 · pith_short_12: 4WPYHDIIALS2 · pith_short_16: 4WPYHDIIALS23V6W · pith_short_8: 4WPYHDII

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/4WPYHDIIALS23V6WTPYYZBVUSE \
  | 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: e59f838d0802e5add7d69bf18c86b4911a27db1b7c775ae1c5eccf985e623d40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "583351d952764cb25ffd6b86a77f9cb27d4b30fd310cda62538aa6460b23c9bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2016-08-01T06:24:30Z",
    "title_canon_sha256": "897d303a1c124710503476a2cac971eb1642b062864c6fe986968caed0a81b1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00331",
    "kind": "arxiv",
    "version": 1
  }
}