Pith Number

pith:IXOC6UBA

pith:2016:IXOC6UBA7GD62XZPYVSKUFLX25

not attested not anchored not stored refs pending

Continuous spectrum for a class of smooth mixing Schr\"odinger operators

Bassam Fayad, Yanhui Qu

arxiv:1610.02462 v1 · 2016-10-08 · math.DS · math-ph · 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{IXOC6UBA7GD62XZPYVSKUFLX25}

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	2026-05-17T23:53:12.984164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45dc2f5020f987ed5f2fc564aa1577d77d946bd438eb57e58cc9178eed85bae8

Aliases

arxiv: 1610.02462 · arxiv_version: 1610.02462v1 · doi: 10.48550/arxiv.1610.02462 · pith_short_12: IXOC6UBA7GD6 · pith_short_16: IXOC6UBA7GD62XZP · pith_short_8: IXOC6UBA

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/IXOC6UBA7GD62XZPYVSKUFLX25 \
  | 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: 45dc2f5020f987ed5f2fc564aa1577d77d946bd438eb57e58cc9178eed85bae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "403424011c65cc1c952ca32dbcc699432157ad81415de84a0cd6f585c286cb8a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-10-08T02:22:03Z",
    "title_canon_sha256": "066d263e4f68f4ebccb5bf6ec6d988256592db29b13ec32eda62e436d5476508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02462",
    "kind": "arxiv",
    "version": 1
  }
}