Pith Number

pith:AHQ44AR5

pith:2009:AHQ44AR5USIP2KA5TWZKJAJBHZ

not attested not anchored not stored refs pending

Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators

Artur Avila, Svetlana Jitomirskaya

arxiv:0912.3246 v1 · 2009-12-16 · math.DS · 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{AHQ44AR5USIP2KA5TWZKJAJBHZ}

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	2026-05-18T02:10:16.285222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e1ce023da490fd281d9db2a481213e42abb76ac0cc0ff49e91cac3c4ef6d4d

Aliases

arxiv: 0912.3246 · arxiv_version: 0912.3246v1 · doi: 10.48550/arxiv.0912.3246 · pith_short_12: AHQ44AR5USIP · pith_short_16: AHQ44AR5USIP2KA5 · pith_short_8: AHQ44AR5

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/AHQ44AR5USIP2KA5TWZKJAJBHZ \
  | 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: 01e1ce023da490fd281d9db2a481213e42abb76ac0cc0ff49e91cac3c4ef6d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59eb00d91a4af59ec0b406f1712c4dcb34d4a256715e0a6822b3073c5713643",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-12-16T21:28:04Z",
    "title_canon_sha256": "a86def9df5f5faa37647c426a522ace1c63f3250c523e129f1ce32ded3f90e70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3246",
    "kind": "arxiv",
    "version": 1
  }
}