Pith Number

pith:3HAYEHUA

pith:2012:3HAYEHUA53OEVSTSCA4C2BNEGA

not attested not anchored not stored refs pending

Absolutely continuous spectrum implies ballistic transport for quantum particles in a random potential on tree graphs

Michael Aizenman, Simone Warzel

arxiv:1202.3642 v2 · 2012-02-16 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3HAYEHUA53OEVSTSCA4C2BNEGA}

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	2026-05-18T03:36:06.503731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c1821e80eedc4aca7210382d05a43036a41332b2fb51ac324e5d3edaefda22

Aliases

arxiv: 1202.3642 · arxiv_version: 1202.3642v2 · doi: 10.48550/arxiv.1202.3642 · pith_short_12: 3HAYEHUA53OE · pith_short_16: 3HAYEHUA53OEVSTS · pith_short_8: 3HAYEHUA

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/3HAYEHUA53OEVSTSCA4C2BNEGA \
  | 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: d9c1821e80eedc4aca7210382d05a43036a41332b2fb51ac324e5d3edaefda22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa08da3453eda07f117af9586973e90c162e009dbd06d0f431571e8838b8dad",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-16T16:47:10Z",
    "title_canon_sha256": "35b39c9f3107d57f79fb1a8b41f5e73ba7dcd03eb8f7f96640dcb0b2707cd92a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3642",
    "kind": "arxiv",
    "version": 2
  }
}