Pith Number

pith:3HYPS2BH

pith:2015:3HYPS2BHZHPE2CXKL2HELRXP5L

not attested not anchored not stored refs pending

Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel

Christian Sadel

arxiv:1501.04287 v2 · 2015-01-18 · math-ph · math.FA · 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{3HYPS2BHZHPE2CXKL2HELRXP5L}

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	2026-05-18T01:11:51.807603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f0f96827c9de4d0aea5e8e45c6efeadeff71d57fefdc59955f30694142c3c4

Aliases

arxiv: 1501.04287 · arxiv_version: 1501.04287v2 · doi: 10.48550/arxiv.1501.04287 · pith_short_12: 3HYPS2BHZHPE · pith_short_16: 3HYPS2BHZHPE2CXK · pith_short_8: 3HYPS2BH

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/3HYPS2BHZHPE2CXKL2HELRXP5L \
  | 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: d9f0f96827c9de4d0aea5e8e45c6efeadeff71d57fefdc59955f30694142c3c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fe954dc65ece84cada8604b29c4aa331dfc21cd3264149b4daf950244e81c5b",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-18T12:16:15Z",
    "title_canon_sha256": "e649b645b6e85c506b1b43c548dafd9c30df7a47b2fe33906073e8c5ca08bcaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04287",
    "kind": "arxiv",
    "version": 2
  }
}