Pith Number

pith:Y4BEFXB5

pith:2025:Y4BEFXB5K42HTJSOLDAY6N3EYU

not attested not anchored not stored refs pending

Wannier decay and the Thouless conjecture

Mengxuan Yang, Simon Becker, Zhongkai Tao

arxiv:2505.01999 v1 · 2025-05-04 · math-ph · cond-mat.mes-hall · cond-mat.mtrl-sci · 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{Y4BEFXB5K42HTJSOLDAY6N3EYU}

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	2026-07-05T10:58:30.073614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c70242dc3d573479a64e58c18f3764c535ba72bfd69e222406daecc7dfaac171

Aliases

arxiv: 2505.01999 · arxiv_version: 2505.01999v1 · doi: 10.48550/arxiv.2505.01999 · pith_short_12: Y4BEFXB5K42H · pith_short_16: Y4BEFXB5K42HTJSO · pith_short_8: Y4BEFXB5

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/Y4BEFXB5K42HTJSOLDAY6N3EYU \
  | 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: c70242dc3d573479a64e58c18f3764c535ba72bfd69e222406daecc7dfaac171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb43ccfb1c6e2cd7ec1836fb8e1f55e553a4b21d9dfcd24533ce0798e61a46e9",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.mtrl-sci",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-05-04T06:03:22Z",
    "title_canon_sha256": "60644d75ad4576c9bcde63864a98bc0cc840dbe171059c306b77a7223c713541"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01999",
    "kind": "arxiv",
    "version": 1
  }
}